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Finding the Fourth Proportional to 97,207.40, 145,964.70 and 71,095.40

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Solution

The fourth proportional to 97,207.40, 145,964.70 and 71,095.40 is: 106,755.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,207.40 : 145,964.70 = 71,095.40 : x
  2. Step 2: Convert to fraction form
    97,207.40/145,964.70 = 71,095.40/x
  3. Step 3: Cross multiply
    97,207.40x = 145,964.70 × 71,095.40
  4. Step 4: Simplify right side
    97,207.40x = 10,377,418,732.38
  5. Step 5: Solve for x
    x = 10,377,418,732.38/97,207.40
  6. Step 6: Final answer
    x = 106,755.44

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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.