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Finding the Fourth Proportional to 114,781, 172,164.66 and 51,584.80

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Solution

The fourth proportional to 114,781, 172,164.66 and 51,584.80 is: 77,374.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,781 : 172,164.66 = 51,584.80 : x
  2. Step 2: Convert to fraction form
    114,781/172,164.66 = 51,584.80/x
  3. Step 3: Cross multiply
    114,781x = 172,164.66 × 51,584.80
  4. Step 4: Simplify right side
    114,781x = 8,881,079,553.17
  5. Step 5: Solve for x
    x = 8,881,079,553.17/114,781
  6. Step 6: Final answer
    x = 77,374.13

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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.