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Finding the Fourth Proportional to 257,802.80, 386,722.62 and 107,892.14

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Solution

The fourth proportional to 257,802.80, 386,722.62 and 107,892.14 is: 161,845.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,802.80 : 386,722.62 = 107,892.14 : x
  2. Step 2: Convert to fraction form
    257,802.80/386,722.62 = 107,892.14/x
  3. Step 3: Cross multiply
    257,802.80x = 386,722.62 × 107,892.14
  4. Step 4: Simplify right side
    257,802.80x = 41,724,331,058.21
  5. Step 5: Solve for x
    x = 41,724,331,058.21/257,802.80
  6. Step 6: Final answer
    x = 161,845.92

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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.