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Finding the Fourth Proportional to 142,362, 196,442.51 and 78,691.14

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Solution

The fourth proportional to 142,362, 196,442.51 and 78,691.14 is: 108,584.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,362 : 196,442.51 = 78,691.14 : x
  2. Step 2: Convert to fraction form
    142,362/196,442.51 = 78,691.14/x
  3. Step 3: Cross multiply
    142,362x = 196,442.51 × 78,691.14
  4. Step 4: Simplify right side
    142,362x = 15,458,284,662.91
  5. Step 5: Solve for x
    x = 15,458,284,662.91/142,362
  6. Step 6: Final answer
    x = 108,584.35

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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.