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Finding the Fourth Proportional to 101,407.60, 151,963.48 and 57,046.80

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Solution

The fourth proportional to 101,407.60, 151,963.48 and 57,046.80 is: 85,486.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,407.60 : 151,963.48 = 57,046.80 : x
  2. Step 2: Convert to fraction form
    101,407.60/151,963.48 = 57,046.80/x
  3. Step 3: Cross multiply
    101,407.60x = 151,963.48 × 57,046.80
  4. Step 4: Simplify right side
    101,407.60x = 8,669,030,250.86
  5. Step 5: Solve for x
    x = 8,669,030,250.86/101,407.60
  6. Step 6: Final answer
    x = 85,486.99

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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.