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Finding the Fourth Proportional to 280,594.10, 387,123.81 and 159,705.14

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Solution

The fourth proportional to 280,594.10, 387,123.81 and 159,705.14 is: 220,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,594.10 : 387,123.81 = 159,705.14 : x
  2. Step 2: Convert to fraction form
    280,594.10/387,123.81 = 159,705.14/x
  3. Step 3: Cross multiply
    280,594.10x = 387,123.81 × 159,705.14
  4. Step 4: Simplify right side
    280,594.10x = 61,825,662,273.38
  5. Step 5: Solve for x
    x = 61,825,662,273.38/280,594.10
  6. Step 6: Final answer
    x = 220,338.43

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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.