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Finding the Fourth Proportional to 280,809.38, 387,463.20 and 159,948.02

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Solution

The fourth proportional to 280,809.38, 387,463.20 and 159,948.02 is: 220,697.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,809.38 : 387,463.20 = 159,948.02 : x
  2. Step 2: Convert to fraction form
    280,809.38/387,463.20 = 159,948.02/x
  3. Step 3: Cross multiply
    280,809.38x = 387,463.20 × 159,948.02
  4. Step 4: Simplify right side
    280,809.38x = 61,973,972,031.72
  5. Step 5: Solve for x
    x = 61,973,972,031.72/280,809.38
  6. Step 6: Final answer
    x = 220,697.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.