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Finding the Fourth Proportional to 161,451.71, 242,177.77 and 77,192.07

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Solution

The fourth proportional to 161,451.71, 242,177.77 and 77,192.07 is: 115,788.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,451.71 : 242,177.77 = 77,192.07 : x
  2. Step 2: Convert to fraction form
    161,451.71/242,177.77 = 77,192.07/x
  3. Step 3: Cross multiply
    161,451.71x = 242,177.77 × 77,192.07
  4. Step 4: Simplify right side
    161,451.71x = 18,694,203,374.28
  5. Step 5: Solve for x
    x = 18,694,203,374.28/161,451.71
  6. Step 6: Final answer
    x = 115,788.20

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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.