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Finding the Fourth Proportional to 142,348, 196,438.80 and 78,682.72

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Solution

The fourth proportional to 142,348, 196,438.80 and 78,682.72 is: 108,581.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,348 : 196,438.80 = 78,682.72 : x
  2. Step 2: Convert to fraction form
    142,348/196,438.80 = 78,682.72/x
  3. Step 3: Cross multiply
    142,348x = 196,438.80 × 78,682.72
  4. Step 4: Simplify right side
    142,348x = 15,456,339,097.54
  5. Step 5: Solve for x
    x = 15,456,339,097.54/142,348
  6. Step 6: Final answer
    x = 108,581.36

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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.