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Finding the Fourth Proportional to 142,380.06, 196,476.63 and 78,714.06

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Solution

The fourth proportional to 142,380.06, 196,476.63 and 78,714.06 is: 108,621.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,380.06 : 196,476.63 = 78,714.06 : x
  2. Step 2: Convert to fraction form
    142,380.06/196,476.63 = 78,714.06/x
  3. Step 3: Cross multiply
    142,380.06x = 196,476.63 × 78,714.06
  4. Step 4: Simplify right side
    142,380.06x = 15,465,473,242.42
  5. Step 5: Solve for x
    x = 15,465,473,242.42/142,380.06
  6. Step 6: Final answer
    x = 108,621.06

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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.