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Finding the Fourth Proportional to 107,915.80, 161,873.70 and 107,224.60

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Solution

The fourth proportional to 107,915.80, 161,873.70 and 107,224.60 is: 160,836.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,915.80 : 161,873.70 = 107,224.60 : x
  2. Step 2: Convert to fraction form
    107,915.80/161,873.70 = 107,224.60/x
  3. Step 3: Cross multiply
    107,915.80x = 161,873.70 × 107,224.60
  4. Step 4: Simplify right side
    107,915.80x = 17,356,842,733.02
  5. Step 5: Solve for x
    x = 17,356,842,733.02/107,915.80
  6. Step 6: Final answer
    x = 160,836.90

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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.