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Finding the Fourth Proportional to 82,214.60, 123,321.90 and 73,459.40

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Solution

The fourth proportional to 82,214.60, 123,321.90 and 73,459.40 is: 110,189.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,214.60 : 123,321.90 = 73,459.40 : x
  2. Step 2: Convert to fraction form
    82,214.60/123,321.90 = 73,459.40/x
  3. Step 3: Cross multiply
    82,214.60x = 123,321.90 × 73,459.40
  4. Step 4: Simplify right side
    82,214.60x = 9,059,152,780.86
  5. Step 5: Solve for x
    x = 9,059,152,780.86/82,214.60
  6. Step 6: Final answer
    x = 110,189.10

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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.