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Finding the Fourth Proportional to 137,355.90, 206,033.13 and 43,859.58

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Solution

The fourth proportional to 137,355.90, 206,033.13 and 43,859.58 is: 65,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,355.90 : 206,033.13 = 43,859.58 : x
  2. Step 2: Convert to fraction form
    137,355.90/206,033.13 = 43,859.58/x
  3. Step 3: Cross multiply
    137,355.90x = 206,033.13 × 43,859.58
  4. Step 4: Simplify right side
    137,355.90x = 9,036,526,547.89
  5. Step 5: Solve for x
    x = 9,036,526,547.89/137,355.90
  6. Step 6: Final answer
    x = 65,789.14

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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.