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Finding the Fourth Proportional to 142,145.90, 196,164.40 and 78,487.72

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Solution

The fourth proportional to 142,145.90, 196,164.40 and 78,487.72 is: 108,314.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,145.90 : 196,164.40 = 78,487.72 : x
  2. Step 2: Convert to fraction form
    142,145.90/196,164.40 = 78,487.72/x
  3. Step 3: Cross multiply
    142,145.90x = 196,164.40 × 78,487.72
  4. Step 4: Simplify right side
    142,145.90x = 15,396,496,501.17
  5. Step 5: Solve for x
    x = 15,396,496,501.17/142,145.90
  6. Step 6: Final answer
    x = 108,314.74

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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.