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Finding the Fourth Proportional to 101,442.95, 152,178.24 and 42,264.75

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Solution

The fourth proportional to 101,442.95, 152,178.24 and 42,264.75 is: 63,402.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,442.95 : 152,178.24 = 42,264.75 : x
  2. Step 2: Convert to fraction form
    101,442.95/152,178.24 = 42,264.75/x
  3. Step 3: Cross multiply
    101,442.95x = 152,178.24 × 42,264.75
  4. Step 4: Simplify right side
    101,442.95x = 6,431,775,269.04
  5. Step 5: Solve for x
    x = 6,431,775,269.04/101,442.95
  6. Step 6: Final answer
    x = 63,402.88

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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.