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Finding the Fourth Proportional to 142,080.16, 196,062.24 and 78,416.32

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Solution

The fourth proportional to 142,080.16, 196,062.24 and 78,416.32 is: 108,209.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,080.16 : 196,062.24 = 78,416.32 : x
  2. Step 2: Convert to fraction form
    142,080.16/196,062.24 = 78,416.32/x
  3. Step 3: Cross multiply
    142,080.16x = 196,062.24 × 78,416.32
  4. Step 4: Simplify right side
    142,080.16x = 15,374,479,351.76
  5. Step 5: Solve for x
    x = 15,374,479,351.76/142,080.16
  6. Step 6: Final answer
    x = 108,209.90

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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.