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Finding the Fourth Proportional to 96,101.60, 144,022.80 and 64,421.60

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Solution

The fourth proportional to 96,101.60, 144,022.80 and 64,421.60 is: 96,545.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,101.60 : 144,022.80 = 64,421.60 : x
  2. Step 2: Convert to fraction form
    96,101.60/144,022.80 = 64,421.60/x
  3. Step 3: Cross multiply
    96,101.60x = 144,022.80 × 64,421.60
  4. Step 4: Simplify right side
    96,101.60x = 9,278,179,212.48
  5. Step 5: Solve for x
    x = 9,278,179,212.48/96,101.60
  6. Step 6: Final answer
    x = 96,545.52

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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.