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Finding the Fourth Proportional to 114,959.43, 172,437.14 and 51,734.81

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Solution

The fourth proportional to 114,959.43, 172,437.14 and 51,734.81 is: 77,601.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,959.43 : 172,437.14 = 51,734.81 : x
  2. Step 2: Convert to fraction form
    114,959.43/172,437.14 = 51,734.81/x
  3. Step 3: Cross multiply
    114,959.43x = 172,437.14 × 51,734.81
  4. Step 4: Simplify right side
    114,959.43x = 8,921,002,674.84
  5. Step 5: Solve for x
    x = 8,921,002,674.84/114,959.43
  6. Step 6: Final answer
    x = 77,601.31

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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.