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Finding the Fourth Proportional to 165,024, 227,733.39 and 89,572.50

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Solution

The fourth proportional to 165,024, 227,733.39 and 89,572.50 is: 123,610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,024 : 227,733.39 = 89,572.50 : x
  2. Step 2: Convert to fraction form
    165,024/227,733.39 = 89,572.50/x
  3. Step 3: Cross multiply
    165,024x = 227,733.39 × 89,572.50
  4. Step 4: Simplify right side
    165,024x = 20,398,649,075.78
  5. Step 5: Solve for x
    x = 20,398,649,075.78/165,024
  6. Step 6: Final answer
    x = 123,610.20

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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.