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Finding the Fourth Proportional to 142,649.46, 196,856.22 and 78,987.24

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Solution

The fourth proportional to 142,649.46, 196,856.22 and 78,987.24 is: 109,002.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,649.46 : 196,856.22 = 78,987.24 : x
  2. Step 2: Convert to fraction form
    142,649.46/196,856.22 = 78,987.24/x
  3. Step 3: Cross multiply
    142,649.46x = 196,856.22 × 78,987.24
  4. Step 4: Simplify right side
    142,649.46x = 15,549,129,494.63
  5. Step 5: Solve for x
    x = 15,549,129,494.63/142,649.46
  6. Step 6: Final answer
    x = 109,002.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.