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Finding the Fourth Proportional to 102,638.25, 154,778.13 and 101,234.79

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Solution

The fourth proportional to 102,638.25, 154,778.13 and 101,234.79 is: 152,661.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,638.25 : 154,778.13 = 101,234.79 : x
  2. Step 2: Convert to fraction form
    102,638.25/154,778.13 = 101,234.79/x
  3. Step 3: Cross multiply
    102,638.25x = 154,778.13 × 101,234.79
  4. Step 4: Simplify right side
    102,638.25x = 15,668,931,487.14
  5. Step 5: Solve for x
    x = 15,668,931,487.14/102,638.25
  6. Step 6: Final answer
    x = 152,661.72

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.