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Finding the Fourth Proportional to 142,308.56, 196,384.20 and 78,646.34

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Solution

The fourth proportional to 142,308.56, 196,384.20 and 78,646.34 is: 108,531.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,308.56 : 196,384.20 = 78,646.34 : x
  2. Step 2: Convert to fraction form
    142,308.56/196,384.20 = 78,646.34/x
  3. Step 3: Cross multiply
    142,308.56x = 196,384.20 × 78,646.34
  4. Step 4: Simplify right side
    142,308.56x = 15,444,898,563.83
  5. Step 5: Solve for x
    x = 15,444,898,563.83/142,308.56
  6. Step 6: Final answer
    x = 108,531.06

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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.