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Finding the Fourth Proportional to 101,614.88, 152,422.34 and 42,418.26

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Solution

The fourth proportional to 101,614.88, 152,422.34 and 42,418.26 is: 63,627.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,614.88 : 152,422.34 = 42,418.26 : x
  2. Step 2: Convert to fraction form
    101,614.88/152,422.34 = 42,418.26/x
  3. Step 3: Cross multiply
    101,614.88x = 152,422.34 × 42,418.26
  4. Step 4: Simplify right side
    101,614.88x = 6,465,490,235.84
  5. Step 5: Solve for x
    x = 6,465,490,235.84/101,614.88
  6. Step 6: Final answer
    x = 63,627.40

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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.