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Finding the Fourth Proportional to 120,980.70, 181,471.05 and 83,655.90

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Solution

The fourth proportional to 120,980.70, 181,471.05 and 83,655.90 is: 125,483.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,980.70 : 181,471.05 = 83,655.90 : x
  2. Step 2: Convert to fraction form
    120,980.70/181,471.05 = 83,655.90/x
  3. Step 3: Cross multiply
    120,980.70x = 181,471.05 × 83,655.90
  4. Step 4: Simplify right side
    120,980.70x = 15,181,124,011.70
  5. Step 5: Solve for x
    x = 15,181,124,011.70/120,980.70
  6. Step 6: Final answer
    x = 125,483.85

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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.