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Finding the Fourth Proportional to 133,689.84, 200,545.20 and 44,942.64

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Solution

The fourth proportional to 133,689.84, 200,545.20 and 44,942.64 is: 67,417.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,689.84 : 200,545.20 = 44,942.64 : x
  2. Step 2: Convert to fraction form
    133,689.84/200,545.20 = 44,942.64/x
  3. Step 3: Cross multiply
    133,689.84x = 200,545.20 × 44,942.64
  4. Step 4: Simplify right side
    133,689.84x = 9,013,030,727.33
  5. Step 5: Solve for x
    x = 9,013,030,727.33/133,689.84
  6. Step 6: Final answer
    x = 67,417.47

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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.