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Finding the Fourth Proportional to 136,838,407, 188,685,681.78 and 87,200,149

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Solution

The fourth proportional to 136,838,407, 188,685,681.78 and 87,200,149 is: 120,239,777.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,838,407 : 188,685,681.78 = 87,200,149 : x
  2. Step 2: Convert to fraction form
    136,838,407/188,685,681.78 = 87,200,149/x
  3. Step 3: Cross multiply
    136,838,407x = 188,685,681.78 × 87,200,149
  4. Step 4: Simplify right side
    136,838,407x = 16,453,419,565,382,586
  5. Step 5: Solve for x
    x = 16,453,419,565,382,586/136,838,407
  6. Step 6: Final answer
    x = 120,239,777.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.