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Finding the Fourth Proportional to 206,582.40, 309,902.40 and 88,252.80

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Solution

The fourth proportional to 206,582.40, 309,902.40 and 88,252.80 is: 132,391.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,582.40 : 309,902.40 = 88,252.80 : x
  2. Step 2: Convert to fraction form
    206,582.40/309,902.40 = 88,252.80/x
  3. Step 3: Cross multiply
    206,582.40x = 309,902.40 × 88,252.80
  4. Step 4: Simplify right side
    206,582.40x = 27,349,754,526.72
  5. Step 5: Solve for x
    x = 27,349,754,526.72/206,582.40
  6. Step 6: Final answer
    x = 132,391.50

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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.