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Finding the Fourth Proportional to 101,141.80, 151,712.70 and 99,829.60

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Solution

The fourth proportional to 101,141.80, 151,712.70 and 99,829.60 is: 149,744.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,141.80 : 151,712.70 = 99,829.60 : x
  2. Step 2: Convert to fraction form
    101,141.80/151,712.70 = 99,829.60/x
  3. Step 3: Cross multiply
    101,141.80x = 151,712.70 × 99,829.60
  4. Step 4: Simplify right side
    101,141.80x = 15,145,418,155.92
  5. Step 5: Solve for x
    x = 15,145,418,155.92/101,141.80
  6. Step 6: Final answer
    x = 149,744.40

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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.