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Finding the Fourth Proportional to 96,221.60, 144,332.40 and 54,749.60

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Solution

The fourth proportional to 96,221.60, 144,332.40 and 54,749.60 is: 82,124.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,221.60 : 144,332.40 = 54,749.60 : x
  2. Step 2: Convert to fraction form
    96,221.60/144,332.40 = 54,749.60/x
  3. Step 3: Cross multiply
    96,221.60x = 144,332.40 × 54,749.60
  4. Step 4: Simplify right side
    96,221.60x = 7,902,141,167.04
  5. Step 5: Solve for x
    x = 7,902,141,167.04/96,221.60
  6. Step 6: Final answer
    x = 82,124.40

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1.5x scale

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.