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Finding the Fourth Proportional to 142,243.80, 196,293.62 and 78,581

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Solution

The fourth proportional to 142,243.80, 196,293.62 and 78,581 is: 108,440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,243.80 : 196,293.62 = 78,581 : x
  2. Step 2: Convert to fraction form
    142,243.80/196,293.62 = 78,581/x
  3. Step 3: Cross multiply
    142,243.80x = 196,293.62 × 78,581
  4. Step 4: Simplify right side
    142,243.80x = 15,424,948,953.22
  5. Step 5: Solve for x
    x = 15,424,948,953.22/142,243.80
  6. Step 6: Final answer
    x = 108,440.22

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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.