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Finding the Fourth Proportional to 101,115.80, 151,710.15 and 97,470.80

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Solution

The fourth proportional to 101,115.80, 151,710.15 and 97,470.80 is: 146,241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,115.80 : 151,710.15 = 97,470.80 : x
  2. Step 2: Convert to fraction form
    101,115.80/151,710.15 = 97,470.80/x
  3. Step 3: Cross multiply
    101,115.80x = 151,710.15 × 97,470.80
  4. Step 4: Simplify right side
    101,115.80x = 14,787,309,688.62
  5. Step 5: Solve for x
    x = 14,787,309,688.62/101,115.80
  6. Step 6: Final answer
    x = 146,241.34

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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.