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Finding the Fourth Proportional to 106,895.34, 160,352.16 and 28,009.56

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Solution

The fourth proportional to 106,895.34, 160,352.16 and 28,009.56 is: 42,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,895.34 : 160,352.16 = 28,009.56 : x
  2. Step 2: Convert to fraction form
    106,895.34/160,352.16 = 28,009.56/x
  3. Step 3: Cross multiply
    106,895.34x = 160,352.16 × 28,009.56
  4. Step 4: Simplify right side
    106,895.34x = 4,491,393,446.65
  5. Step 5: Solve for x
    x = 4,491,393,446.65/106,895.34
  6. Step 6: Final answer
    x = 42,016.74

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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.