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Finding the Fourth Proportional to 242,564.68, 334,730.82 and 135,129.16

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Solution

The fourth proportional to 242,564.68, 334,730.82 and 135,129.16 is: 186,473.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,564.68 : 334,730.82 = 135,129.16 : x
  2. Step 2: Convert to fraction form
    242,564.68/334,730.82 = 135,129.16/x
  3. Step 3: Cross multiply
    242,564.68x = 334,730.82 × 135,129.16
  4. Step 4: Simplify right side
    242,564.68x = 45,231,894,532.71
  5. Step 5: Solve for x
    x = 45,231,894,532.71/242,564.68
  6. Step 6: Final answer
    x = 186,473.54

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