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Finding the Fourth Proportional to 136,617.38, 188,533.06 and 76,191.92

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Solution

The fourth proportional to 136,617.38, 188,533.06 and 76,191.92 is: 105,145.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,617.38 : 188,533.06 = 76,191.92 : x
  2. Step 2: Convert to fraction form
    136,617.38/188,533.06 = 76,191.92/x
  3. Step 3: Cross multiply
    136,617.38x = 188,533.06 × 76,191.92
  4. Step 4: Simplify right side
    136,617.38x = 14,364,695,824.88
  5. Step 5: Solve for x
    x = 14,364,695,824.88/136,617.38
  6. Step 6: Final answer
    x = 105,145.45

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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.