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Finding the Fourth Proportional to 103,122.24, 142,258.08 and 67,295.68

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Solution

The fourth proportional to 103,122.24, 142,258.08 and 67,295.68 is: 92,835.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,122.24 : 142,258.08 = 67,295.68 : x
  2. Step 2: Convert to fraction form
    103,122.24/142,258.08 = 67,295.68/x
  3. Step 3: Cross multiply
    103,122.24x = 142,258.08 × 67,295.68
  4. Step 4: Simplify right side
    103,122.24x = 9,573,354,229.09
  5. Step 5: Solve for x
    x = 9,573,354,229.09/103,122.24
  6. Step 6: Final answer
    x = 92,835.01

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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.