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Finding the Fourth Proportional to 134,761.86, 202,142.16 and 34,913.52

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Solution

The fourth proportional to 134,761.86, 202,142.16 and 34,913.52 is: 52,370.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,761.86 : 202,142.16 = 34,913.52 : x
  2. Step 2: Convert to fraction form
    134,761.86/202,142.16 = 34,913.52/x
  3. Step 3: Cross multiply
    134,761.86x = 202,142.16 × 34,913.52
  4. Step 4: Simplify right side
    134,761.86x = 7,057,494,346.00
  5. Step 5: Solve for x
    x = 7,057,494,346.00/134,761.86
  6. Step 6: Final answer
    x = 52,370.12

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Why These Related Problems?

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