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Finding the Fourth Proportional to 95,461.20, 143,191.80 and 82,047.60

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Solution

The fourth proportional to 95,461.20, 143,191.80 and 82,047.60 is: 123,071.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,461.20 : 143,191.80 = 82,047.60 : x
  2. Step 2: Convert to fraction form
    95,461.20/143,191.80 = 82,047.60/x
  3. Step 3: Cross multiply
    95,461.20x = 143,191.80 × 82,047.60
  4. Step 4: Simplify right side
    95,461.20x = 11,748,543,529.68
  5. Step 5: Solve for x
    x = 11,748,543,529.68/95,461.20
  6. Step 6: Final answer
    x = 123,071.40

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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.