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Finding the Fourth Proportional to 142,658.96, 196,869.32 and 78,996.74

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Solution

The fourth proportional to 142,658.96, 196,869.32 and 78,996.74 is: 109,015.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,658.96 : 196,869.32 = 78,996.74 : x
  2. Step 2: Convert to fraction form
    142,658.96/196,869.32 = 78,996.74/x
  3. Step 3: Cross multiply
    142,658.96x = 196,869.32 × 78,996.74
  4. Step 4: Simplify right side
    142,658.96x = 15,552,034,486.02
  5. Step 5: Solve for x
    x = 15,552,034,486.02/142,658.96
  6. Step 6: Final answer
    x = 109,015.48

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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.