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Finding the Fourth Proportional to 101,092.12, 151,594.14 and 53,696.84

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Solution

The fourth proportional to 101,092.12, 151,594.14 and 53,696.84 is: 80,521.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,092.12 : 151,594.14 = 53,696.84 : x
  2. Step 2: Convert to fraction form
    101,092.12/151,594.14 = 53,696.84/x
  3. Step 3: Cross multiply
    101,092.12x = 151,594.14 × 53,696.84
  4. Step 4: Simplify right side
    101,092.12x = 8,140,126,280.52
  5. Step 5: Solve for x
    x = 8,140,126,280.52/101,092.12
  6. Step 6: Final answer
    x = 80,521.87

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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.