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Finding the Fourth Proportional to 96,937.60, 145,233.60 and 83,113.60

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Solution

The fourth proportional to 96,937.60, 145,233.60 and 83,113.60 is: 124,522.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,937.60 : 145,233.60 = 83,113.60 : x
  2. Step 2: Convert to fraction form
    96,937.60/145,233.60 = 83,113.60/x
  3. Step 3: Cross multiply
    96,937.60x = 145,233.60 × 83,113.60
  4. Step 4: Simplify right side
    96,937.60x = 12,070,887,336.96
  5. Step 5: Solve for x
    x = 12,070,887,336.96/96,937.60
  6. Step 6: Final answer
    x = 124,522.24

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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.