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Finding the Fourth Proportional to 142,152.56, 196,173.06 and 78,486.56

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Solution

The fourth proportional to 142,152.56, 196,173.06 and 78,486.56 is: 108,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,152.56 : 196,173.06 = 78,486.56 : x
  2. Step 2: Convert to fraction form
    142,152.56/196,173.06 = 78,486.56/x
  3. Step 3: Cross multiply
    142,152.56x = 196,173.06 × 78,486.56
  4. Step 4: Simplify right side
    142,152.56x = 15,396,948,644.07
  5. Step 5: Solve for x
    x = 15,396,948,644.07/142,152.56
  6. Step 6: Final answer
    x = 108,312.85

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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.