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Finding the Fourth Proportional to 242,292.60, 363,098.68 and 206,569.16

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Solution

The fourth proportional to 242,292.60, 363,098.68 and 206,569.16 is: 309,563.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,292.60 : 363,098.68 = 206,569.16 : x
  2. Step 2: Convert to fraction form
    242,292.60/363,098.68 = 206,569.16/x
  3. Step 3: Cross multiply
    242,292.60x = 363,098.68 × 206,569.16
  4. Step 4: Simplify right side
    242,292.60x = 75,004,989,324.71
  5. Step 5: Solve for x
    x = 75,004,989,324.71/242,292.60
  6. Step 6: Final answer
    x = 309,563.68

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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.