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Finding the Fourth Proportional to 106,693.76, 160,074.82 and 74,706.15

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Solution

The fourth proportional to 106,693.76, 160,074.82 and 74,706.15 is: 112,083.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,693.76 : 160,074.82 = 74,706.15 : x
  2. Step 2: Convert to fraction form
    106,693.76/160,074.82 = 74,706.15/x
  3. Step 3: Cross multiply
    106,693.76x = 160,074.82 × 74,706.15
  4. Step 4: Simplify right side
    106,693.76x = 11,958,573,514.14
  5. Step 5: Solve for x
    x = 11,958,573,514.14/106,693.76
  6. Step 6: Final answer
    x = 112,083.16

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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.