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Finding the Fourth Proportional to 106,814.38, 147,370.55 and 71,010.46

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Solution

The fourth proportional to 106,814.38, 147,370.55 and 71,010.46 is: 97,972.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,814.38 : 147,370.55 = 71,010.46 : x
  2. Step 2: Convert to fraction form
    106,814.38/147,370.55 = 71,010.46/x
  3. Step 3: Cross multiply
    106,814.38x = 147,370.55 × 71,010.46
  4. Step 4: Simplify right side
    106,814.38x = 10,464,850,545.95
  5. Step 5: Solve for x
    x = 10,464,850,545.95/106,814.38
  6. Step 6: Final answer
    x = 97,972.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.