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Finding the Fourth Proportional to 202,591.26, 304,077.56 and 102,823.05

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Solution

The fourth proportional to 202,591.26, 304,077.56 and 102,823.05 is: 154,331.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,591.26 : 304,077.56 = 102,823.05 : x
  2. Step 2: Convert to fraction form
    202,591.26/304,077.56 = 102,823.05/x
  3. Step 3: Cross multiply
    202,591.26x = 304,077.56 × 102,823.05
  4. Step 4: Simplify right side
    202,591.26x = 31,266,182,155.76
  5. Step 5: Solve for x
    x = 31,266,182,155.76/202,591.26
  6. Step 6: Final answer
    x = 154,331.35

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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.