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Finding the Fourth Proportional to 106,767.65, 160,148.36 and 27,881.89

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Solution

The fourth proportional to 106,767.65, 160,148.36 and 27,881.89 is: 41,822.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,767.65 : 160,148.36 = 27,881.89 : x
  2. Step 2: Convert to fraction form
    106,767.65/160,148.36 = 27,881.89/x
  3. Step 3: Cross multiply
    106,767.65x = 160,148.36 × 27,881.89
  4. Step 4: Simplify right side
    106,767.65x = 4,465,238,626.53
  5. Step 5: Solve for x
    x = 4,465,238,626.53/106,767.65
  6. Step 6: Final answer
    x = 41,822.02

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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.