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Finding the Fourth Proportional to 115,698.60, 159,666.12 and 65,397.60

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Solution

The fourth proportional to 115,698.60, 159,666.12 and 65,397.60 is: 90,249.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,698.60 : 159,666.12 = 65,397.60 : x
  2. Step 2: Convert to fraction form
    115,698.60/159,666.12 = 65,397.60/x
  3. Step 3: Cross multiply
    115,698.60x = 159,666.12 × 65,397.60
  4. Step 4: Simplify right side
    115,698.60x = 10,441,781,049.31
  5. Step 5: Solve for x
    x = 10,441,781,049.31/115,698.60
  6. Step 6: Final answer
    x = 90,249.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.