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Finding the Fourth Proportional to 106,060.78, 146,355.16 and 62,446.40

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Solution

The fourth proportional to 106,060.78, 146,355.16 and 62,446.40 is: 86,170.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,060.78 : 146,355.16 = 62,446.40 : x
  2. Step 2: Convert to fraction form
    106,060.78/146,355.16 = 62,446.40/x
  3. Step 3: Cross multiply
    106,060.78x = 146,355.16 × 62,446.40
  4. Step 4: Simplify right side
    106,060.78x = 9,139,352,863.42
  5. Step 5: Solve for x
    x = 9,139,352,863.42/106,060.78
  6. Step 6: Final answer
    x = 86,170.90

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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.