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Finding the Fourth Proportional to 142,248.66, 213,506.91 and 72,178.26

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Solution

The fourth proportional to 142,248.66, 213,506.91 and 72,178.26 is: 108,335.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,248.66 : 213,506.91 = 72,178.26 : x
  2. Step 2: Convert to fraction form
    142,248.66/213,506.91 = 72,178.26/x
  3. Step 3: Cross multiply
    142,248.66x = 213,506.91 × 72,178.26
  4. Step 4: Simplify right side
    142,248.66x = 15,410,557,261.78
  5. Step 5: Solve for x
    x = 15,410,557,261.78/142,248.66
  6. Step 6: Final answer
    x = 108,335.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.