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Finding the Fourth Proportional to 161,478.50, 242,242.35 and 82,566.08

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Solution

The fourth proportional to 161,478.50, 242,242.35 and 82,566.08 is: 123,861.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,478.50 : 242,242.35 = 82,566.08 : x
  2. Step 2: Convert to fraction form
    161,478.50/242,242.35 = 82,566.08/x
  3. Step 3: Cross multiply
    161,478.50x = 242,242.35 × 82,566.08
  4. Step 4: Simplify right side
    161,478.50x = 20,001,000,038.28
  5. Step 5: Solve for x
    x = 20,001,000,038.28/161,478.50
  6. Step 6: Final answer
    x = 123,861.69

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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.