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Finding the Fourth Proportional to 109,286.18, 163,886.06 and 53,109.65

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Solution

The fourth proportional to 109,286.18, 163,886.06 and 53,109.65 is: 79,643.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,286.18 : 163,886.06 = 53,109.65 : x
  2. Step 2: Convert to fraction form
    109,286.18/163,886.06 = 53,109.65/x
  3. Step 3: Cross multiply
    109,286.18x = 163,886.06 × 53,109.65
  4. Step 4: Simplify right side
    109,286.18x = 8,703,930,201.50
  5. Step 5: Solve for x
    x = 8,703,930,201.50/109,286.18
  6. Step 6: Final answer
    x = 79,643.47

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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.