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Finding the Fourth Proportional to 435,686.87, 653,530.81 and 136,169.01

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Solution

The fourth proportional to 435,686.87, 653,530.81 and 136,169.01 is: 204,253.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,686.87 : 653,530.81 = 136,169.01 : x
  2. Step 2: Convert to fraction form
    435,686.87/653,530.81 = 136,169.01/x
  3. Step 3: Cross multiply
    435,686.87x = 653,530.81 × 136,169.01
  4. Step 4: Simplify right side
    435,686.87x = 88,990,646,023.15
  5. Step 5: Solve for x
    x = 88,990,646,023.15/435,686.87
  6. Step 6: Final answer
    x = 204,253.68

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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.