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Finding the Fourth Proportional to 91,709.20, 137,272.20 and 65,465.20

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Solution

The fourth proportional to 91,709.20, 137,272.20 and 65,465.20 is: 97,989.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,709.20 : 137,272.20 = 65,465.20 : x
  2. Step 2: Convert to fraction form
    91,709.20/137,272.20 = 65,465.20/x
  3. Step 3: Cross multiply
    91,709.20x = 137,272.20 × 65,465.20
  4. Step 4: Simplify right side
    91,709.20x = 8,986,552,027.44
  5. Step 5: Solve for x
    x = 8,986,552,027.44/91,709.20
  6. Step 6: Final answer
    x = 97,989.65

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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.