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Finding the Fourth Proportional to 242,088, 334,081.44 and 136,104

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Solution

The fourth proportional to 242,088, 334,081.44 and 136,104 is: 187,823.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,088 : 334,081.44 = 136,104 : x
  2. Step 2: Convert to fraction form
    242,088/334,081.44 = 136,104/x
  3. Step 3: Cross multiply
    242,088x = 334,081.44 × 136,104
  4. Step 4: Simplify right side
    242,088x = 45,469,820,309.76
  5. Step 5: Solve for x
    x = 45,469,820,309.76/242,088
  6. Step 6: Final answer
    x = 187,823.52

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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.