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Finding the Fourth Proportional to 159,033.80, 219,487.38 and 102,609.32

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Solution

The fourth proportional to 159,033.80, 219,487.38 and 102,609.32 is: 141,614.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,033.80 : 219,487.38 = 102,609.32 : x
  2. Step 2: Convert to fraction form
    159,033.80/219,487.38 = 102,609.32/x
  3. Step 3: Cross multiply
    159,033.80x = 219,487.38 × 102,609.32
  4. Step 4: Simplify right side
    159,033.80x = 22,521,450,810.38
  5. Step 5: Solve for x
    x = 22,521,450,810.38/159,033.80
  6. Step 6: Final answer
    x = 141,614.24

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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.