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Finding the Fourth Proportional to 137,220.30, 205,830.45 and 135,908.10

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Solution

The fourth proportional to 137,220.30, 205,830.45 and 135,908.10 is: 203,862.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,220.30 : 205,830.45 = 135,908.10 : x
  2. Step 2: Convert to fraction form
    137,220.30/205,830.45 = 135,908.10/x
  3. Step 3: Cross multiply
    137,220.30x = 205,830.45 × 135,908.10
  4. Step 4: Simplify right side
    137,220.30x = 27,974,025,381.65
  5. Step 5: Solve for x
    x = 27,974,025,381.65/137,220.30
  6. Step 6: Final answer
    x = 203,862.15

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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.