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Finding the Fourth Proportional to 114,937.91, 172,405.14 and 51,713.39

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Solution

The fourth proportional to 114,937.91, 172,405.14 and 51,713.39 is: 77,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,937.91 : 172,405.14 = 51,713.39 : x
  2. Step 2: Convert to fraction form
    114,937.91/172,405.14 = 51,713.39/x
  3. Step 3: Cross multiply
    114,937.91x = 172,405.14 × 51,713.39
  4. Step 4: Simplify right side
    114,937.91x = 8,915,654,242.82
  5. Step 5: Solve for x
    x = 8,915,654,242.82/114,937.91
  6. Step 6: Final answer
    x = 77,569.31

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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.