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Finding the Fourth Proportional to 120,876.60, 181,287.56 and 45,970.06

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Solution

The fourth proportional to 120,876.60, 181,287.56 and 45,970.06 is: 68,944.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,876.60 : 181,287.56 = 45,970.06 : x
  2. Step 2: Convert to fraction form
    120,876.60/181,287.56 = 45,970.06/x
  3. Step 3: Cross multiply
    120,876.60x = 181,287.56 × 45,970.06
  4. Step 4: Simplify right side
    120,876.60x = 8,333,800,010.45
  5. Step 5: Solve for x
    x = 8,333,800,010.45/120,876.60
  6. Step 6: Final answer
    x = 68,944.69

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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.