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Finding the Fourth Proportional to 101,447.20, 152,184.63 and 42,269

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Solution

The fourth proportional to 101,447.20, 152,184.63 and 42,269 is: 63,409.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,447.20 : 152,184.63 = 42,269 : x
  2. Step 2: Convert to fraction form
    101,447.20/152,184.63 = 42,269/x
  3. Step 3: Cross multiply
    101,447.20x = 152,184.63 × 42,269
  4. Step 4: Simplify right side
    101,447.20x = 6,432,692,125.47
  5. Step 5: Solve for x
    x = 6,432,692,125.47/101,447.20
  6. Step 6: Final answer
    x = 63,409.27

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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.