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Finding the Fourth Proportional to 209,053.50, 288,499.08 and 113,560.20

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Solution

The fourth proportional to 209,053.50, 288,499.08 and 113,560.20 is: 156,715.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,053.50 : 288,499.08 = 113,560.20 : x
  2. Step 2: Convert to fraction form
    209,053.50/288,499.08 = 113,560.20/x
  3. Step 3: Cross multiply
    209,053.50x = 288,499.08 × 113,560.20
  4. Step 4: Simplify right side
    209,053.50x = 32,762,013,224.62
  5. Step 5: Solve for x
    x = 32,762,013,224.62/209,053.50
  6. Step 6: Final answer
    x = 156,715.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.