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Finding the Fourth Proportional to 120,750.40, 181,125.60 and 76,427.20

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Solution

The fourth proportional to 120,750.40, 181,125.60 and 76,427.20 is: 114,640.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,750.40 : 181,125.60 = 76,427.20 : x
  2. Step 2: Convert to fraction form
    120,750.40/181,125.60 = 76,427.20/x
  3. Step 3: Cross multiply
    120,750.40x = 181,125.60 × 76,427.20
  4. Step 4: Simplify right side
    120,750.40x = 13,842,922,456.32
  5. Step 5: Solve for x
    x = 13,842,922,456.32/120,750.40
  6. Step 6: Final answer
    x = 114,640.80

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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.