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Finding the Fourth Proportional to 106,324.40, 159,340.80 and 86,641.40

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Solution

The fourth proportional to 106,324.40, 159,340.80 and 86,641.40 is: 129,843.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,324.40 : 159,340.80 = 86,641.40 : x
  2. Step 2: Convert to fraction form
    106,324.40/159,340.80 = 86,641.40/x
  3. Step 3: Cross multiply
    106,324.40x = 159,340.80 × 86,641.40
  4. Step 4: Simplify right side
    106,324.40x = 13,805,509,989.12
  5. Step 5: Solve for x
    x = 13,805,509,989.12/106,324.40
  6. Step 6: Final answer
    x = 129,843.29

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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.