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Finding the Fourth Proportional to 232,701.96, 321,158.88 and 142,038.96

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Solution

The fourth proportional to 232,701.96, 321,158.88 and 142,038.96 is: 196,032.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,701.96 : 321,158.88 = 142,038.96 : x
  2. Step 2: Convert to fraction form
    232,701.96/321,158.88 = 142,038.96/x
  3. Step 3: Cross multiply
    232,701.96x = 321,158.88 × 142,038.96
  4. Step 4: Simplify right side
    232,701.96x = 45,617,073,309.96
  5. Step 5: Solve for x
    x = 45,617,073,309.96/232,701.96
  6. Step 6: Final answer
    x = 196,032.18

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Why These Related Problems?

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