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Finding the Fourth Proportional to 126,039.80, 189,059.70 and 97,499.45

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Solution

The fourth proportional to 126,039.80, 189,059.70 and 97,499.45 is: 146,249.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,039.80 : 189,059.70 = 97,499.45 : x
  2. Step 2: Convert to fraction form
    126,039.80/189,059.70 = 97,499.45/x
  3. Step 3: Cross multiply
    126,039.80x = 189,059.70 × 97,499.45
  4. Step 4: Simplify right side
    126,039.80x = 18,433,216,767.17
  5. Step 5: Solve for x
    x = 18,433,216,767.17/126,039.80
  6. Step 6: Final answer
    x = 146,249.18

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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.