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Finding the Fourth Proportional to 97,781.60, 146,650.25 and 45,140.24

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Solution

The fourth proportional to 97,781.60, 146,650.25 and 45,140.24 is: 67,700.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,781.60 : 146,650.25 = 45,140.24 : x
  2. Step 2: Convert to fraction form
    97,781.60/146,650.25 = 45,140.24/x
  3. Step 3: Cross multiply
    97,781.60x = 146,650.25 × 45,140.24
  4. Step 4: Simplify right side
    97,781.60x = 6,619,826,522.11
  5. Step 5: Solve for x
    x = 6,619,826,522.11/97,781.60
  6. Step 6: Final answer
    x = 67,700.13

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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.