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Finding the Fourth Proportional to 142,246.65, 196,304.34 and 78,588.55

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Solution

The fourth proportional to 142,246.65, 196,304.34 and 78,588.55 is: 108,454.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,246.65 : 196,304.34 = 78,588.55 : x
  2. Step 2: Convert to fraction form
    142,246.65/196,304.34 = 78,588.55/x
  3. Step 3: Cross multiply
    142,246.65x = 196,304.34 × 78,588.55
  4. Step 4: Simplify right side
    142,246.65x = 15,427,272,875.18
  5. Step 5: Solve for x
    x = 15,427,272,875.18/142,246.65
  6. Step 6: Final answer
    x = 108,454.39

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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.