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Finding the Fourth Proportional to 342,666.16, 513,616.92 and 142,920.16

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Solution

The fourth proportional to 342,666.16, 513,616.92 and 142,920.16 is: 214,220.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,666.16 : 513,616.92 = 142,920.16 : x
  2. Step 2: Convert to fraction form
    342,666.16/513,616.92 = 142,920.16/x
  3. Step 3: Cross multiply
    342,666.16x = 513,616.92 × 142,920.16
  4. Step 4: Simplify right side
    342,666.16x = 73,406,212,385.11
  5. Step 5: Solve for x
    x = 73,406,212,385.11/342,666.16
  6. Step 6: Final answer
    x = 214,220.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.