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Finding the Fourth Proportional to 102,906.35, 154,250.12 and 49,565.01

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Solution

The fourth proportional to 102,906.35, 154,250.12 and 49,565.01 is: 74,294.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,906.35 : 154,250.12 = 49,565.01 : x
  2. Step 2: Convert to fraction form
    102,906.35/154,250.12 = 49,565.01/x
  3. Step 3: Cross multiply
    102,906.35x = 154,250.12 × 49,565.01
  4. Step 4: Simplify right side
    102,906.35x = 7,645,409,442.65
  5. Step 5: Solve for x
    x = 7,645,409,442.65/102,906.35
  6. Step 6: Final answer
    x = 74,294.83

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Why These Related Problems?

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