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Finding the Fourth Proportional to 142,146.90, 196,165.78 and 78,488.72

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Solution

The fourth proportional to 142,146.90, 196,165.78 and 78,488.72 is: 108,316.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,146.90 : 196,165.78 = 78,488.72 : x
  2. Step 2: Convert to fraction form
    142,146.90/196,165.78 = 78,488.72/x
  3. Step 3: Cross multiply
    142,146.90x = 196,165.78 × 78,488.72
  4. Step 4: Simplify right side
    142,146.90x = 15,396,800,980.00
  5. Step 5: Solve for x
    x = 15,396,800,980.00/142,146.90
  6. Step 6: Final answer
    x = 108,316.12

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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.