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Finding the Fourth Proportional to 142,647.42, 196,854.39 and 78,989.34

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Solution

The fourth proportional to 142,647.42, 196,854.39 and 78,989.34 is: 109,005.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,647.42 : 196,854.39 = 78,989.34 : x
  2. Step 2: Convert to fraction form
    142,647.42/196,854.39 = 78,989.34/x
  3. Step 3: Cross multiply
    142,647.42x = 196,854.39 × 78,989.34
  4. Step 4: Simplify right side
    142,647.42x = 15,549,398,342.20
  5. Step 5: Solve for x
    x = 15,549,398,342.20/142,647.42
  6. Step 6: Final answer
    x = 109,005.82

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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.