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Finding the Fourth Proportional to 114,713.01, 172,039.44 and 51,497.78

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Solution

The fourth proportional to 114,713.01, 172,039.44 and 51,497.78 is: 77,233.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,713.01 : 172,039.44 = 51,497.78 : x
  2. Step 2: Convert to fraction form
    114,713.01/172,039.44 = 51,497.78/x
  3. Step 3: Cross multiply
    114,713.01x = 172,039.44 × 51,497.78
  4. Step 4: Simplify right side
    114,713.01x = 8,859,648,565.36
  5. Step 5: Solve for x
    x = 8,859,648,565.36/114,713.01
  6. Step 6: Final answer
    x = 77,233.16

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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.