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Finding the Fourth Proportional to 142,207.25, 213,228.34 and 67,326.76

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Solution

The fourth proportional to 142,207.25, 213,228.34 and 67,326.76 is: 100,951.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,207.25 : 213,228.34 = 67,326.76 : x
  2. Step 2: Convert to fraction form
    142,207.25/213,228.34 = 67,326.76/x
  3. Step 3: Cross multiply
    142,207.25x = 213,228.34 × 67,326.76
  4. Step 4: Simplify right side
    142,207.25x = 14,355,972,802.41
  5. Step 5: Solve for x
    x = 14,355,972,802.41/142,207.25
  6. Step 6: Final answer
    x = 100,951.06

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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.