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Finding the Fourth Proportional to 101,442.17, 152,177.08 and 42,264.00

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Solution

The fourth proportional to 101,442.17, 152,177.08 and 42,264.00 is: 63,401.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,442.17 : 152,177.08 = 42,264.00 : x
  2. Step 2: Convert to fraction form
    101,442.17/152,177.08 = 42,264.00/x
  3. Step 3: Cross multiply
    101,442.17x = 152,177.08 × 42,264.00
  4. Step 4: Simplify right side
    101,442.17x = 6,431,612,510.70
  5. Step 5: Solve for x
    x = 6,431,612,510.70/101,442.17
  6. Step 6: Final answer
    x = 63,401.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.