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Finding the Fourth Proportional to 142,315.34, 196,387.61 and 78,649.34

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Solution

The fourth proportional to 142,315.34, 196,387.61 and 78,649.34 is: 108,531.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,315.34 : 196,387.61 = 78,649.34 : x
  2. Step 2: Convert to fraction form
    142,315.34/196,387.61 = 78,649.34/x
  3. Step 3: Cross multiply
    142,315.34x = 196,387.61 × 78,649.34
  4. Step 4: Simplify right side
    142,315.34x = 15,445,754,535.49
  5. Step 5: Solve for x
    x = 15,445,754,535.49/142,315.34
  6. Step 6: Final answer
    x = 108,531.91

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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.