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Finding the Fourth Proportional to 193,765.86, 267,400.10 and 106,554.65

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Solution

The fourth proportional to 193,765.86, 267,400.10 and 106,554.65 is: 147,047.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,765.86 : 267,400.10 = 106,554.65 : x
  2. Step 2: Convert to fraction form
    193,765.86/267,400.10 = 106,554.65/x
  3. Step 3: Cross multiply
    193,765.86x = 267,400.10 × 106,554.65
  4. Step 4: Simplify right side
    193,765.86x = 28,492,722,994.85
  5. Step 5: Solve for x
    x = 28,492,722,994.85/193,765.86
  6. Step 6: Final answer
    x = 147,047.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.