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Finding the Fourth Proportional to 96,583.60, 144,583.80 and 84,919.60

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Solution

The fourth proportional to 96,583.60, 144,583.80 and 84,919.60 is: 127,123.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,583.60 : 144,583.80 = 84,919.60 : x
  2. Step 2: Convert to fraction form
    96,583.60/144,583.80 = 84,919.60/x
  3. Step 3: Cross multiply
    96,583.60x = 144,583.80 × 84,919.60
  4. Step 4: Simplify right side
    96,583.60x = 12,277,998,462.48
  5. Step 5: Solve for x
    x = 12,277,998,462.48/96,583.60
  6. Step 6: Final answer
    x = 127,123.02

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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.