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Finding the Fourth Proportional to 148,807.84, 223,207.08 and 36,488.40

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Solution

The fourth proportional to 148,807.84, 223,207.08 and 36,488.40 is: 54,731.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,807.84 : 223,207.08 = 36,488.40 : x
  2. Step 2: Convert to fraction form
    148,807.84/223,207.08 = 36,488.40/x
  3. Step 3: Cross multiply
    148,807.84x = 223,207.08 × 36,488.40
  4. Step 4: Simplify right side
    148,807.84x = 8,144,469,217.87
  5. Step 5: Solve for x
    x = 8,144,469,217.87/148,807.84
  6. Step 6: Final answer
    x = 54,731.45

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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.