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Finding the Fourth Proportional to 435,465.90, 653,198.90 and 135,972.14

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Solution

The fourth proportional to 435,465.90, 653,198.90 and 135,972.14 is: 203,958.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,465.90 : 653,198.90 = 135,972.14 : x
  2. Step 2: Convert to fraction form
    435,465.90/653,198.90 = 135,972.14/x
  3. Step 3: Cross multiply
    435,465.90x = 653,198.90 × 135,972.14
  4. Step 4: Simplify right side
    435,465.90x = 88,816,848,332.79
  5. Step 5: Solve for x
    x = 88,816,848,332.79/435,465.90
  6. Step 6: Final answer
    x = 203,958.22

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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.