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Finding the Fourth Proportional to 106,792.90, 160,177.20 and 27,915.10

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Solution

The fourth proportional to 106,792.90, 160,177.20 and 27,915.10 is: 41,869.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,792.90 : 160,177.20 = 27,915.10 : x
  2. Step 2: Convert to fraction form
    106,792.90/160,177.20 = 27,915.10/x
  3. Step 3: Cross multiply
    106,792.90x = 160,177.20 × 27,915.10
  4. Step 4: Simplify right side
    106,792.90x = 4,471,362,555.72
  5. Step 5: Solve for x
    x = 4,471,362,555.72/106,792.90
  6. Step 6: Final answer
    x = 41,869.47

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1.5x scale

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.