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Finding the Fourth Proportional to 142,294.96, 196,366.98 and 78,632.20

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Solution

The fourth proportional to 142,294.96, 196,366.98 and 78,632.20 is: 108,512.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,294.96 : 196,366.98 = 78,632.20 : x
  2. Step 2: Convert to fraction form
    142,294.96/196,366.98 = 78,632.20/x
  3. Step 3: Cross multiply
    142,294.96x = 196,366.98 × 78,632.20
  4. Step 4: Simplify right side
    142,294.96x = 15,440,767,644.76
  5. Step 5: Solve for x
    x = 15,440,767,644.76/142,294.96
  6. Step 6: Final answer
    x = 108,512.40

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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.