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Finding the Fourth Proportional to 107,878.70, 161,792.12 and 55,261.10

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Solution

The fourth proportional to 107,878.70, 161,792.12 and 55,261.10 is: 82,878.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,878.70 : 161,792.12 = 55,261.10 : x
  2. Step 2: Convert to fraction form
    107,878.70/161,792.12 = 55,261.10/x
  3. Step 3: Cross multiply
    107,878.70x = 161,792.12 × 55,261.10
  4. Step 4: Simplify right side
    107,878.70x = 8,940,810,522.53
  5. Step 5: Solve for x
    x = 8,940,810,522.53/107,878.70
  6. Step 6: Final answer
    x = 82,878.37

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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.