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Finding the Fourth Proportional to 101,130.49, 151,651.61 and 53,734.15

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Solution

The fourth proportional to 101,130.49, 151,651.61 and 53,734.15 is: 80,577.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,130.49 : 151,651.61 = 53,734.15 : x
  2. Step 2: Convert to fraction form
    101,130.49/151,651.61 = 53,734.15/x
  3. Step 3: Cross multiply
    101,130.49x = 151,651.61 × 53,734.15
  4. Step 4: Simplify right side
    101,130.49x = 8,148,870,359.48
  5. Step 5: Solve for x
    x = 8,148,870,359.48/101,130.49
  6. Step 6: Final answer
    x = 80,577.78

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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.