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Finding the Fourth Proportional to 142,328.44, 196,385.34 and 85,742.92

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Solution

The fourth proportional to 142,328.44, 196,385.34 and 85,742.92 is: 118,308.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,328.44 : 196,385.34 = 85,742.92 : x
  2. Step 2: Convert to fraction form
    142,328.44/196,385.34 = 85,742.92/x
  3. Step 3: Cross multiply
    142,328.44x = 196,385.34 × 85,742.92
  4. Step 4: Simplify right side
    142,328.44x = 16,838,652,496.79
  5. Step 5: Solve for x
    x = 16,838,652,496.79/142,328.44
  6. Step 6: Final answer
    x = 118,308.42

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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.