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Finding the Fourth Proportional to 120,905.40, 181,358.10 and 83,580.60

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Solution

The fourth proportional to 120,905.40, 181,358.10 and 83,580.60 is: 125,370.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,905.40 : 181,358.10 = 83,580.60 : x
  2. Step 2: Convert to fraction form
    120,905.40/181,358.10 = 83,580.60/x
  3. Step 3: Cross multiply
    120,905.40x = 181,358.10 × 83,580.60
  4. Step 4: Simplify right side
    120,905.40x = 15,158,018,812.86
  5. Step 5: Solve for x
    x = 15,158,018,812.86/120,905.40
  6. Step 6: Final answer
    x = 125,370.90

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.