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Finding the Fourth Proportional to 107,052.76, 160,460.34 and 54,353.08

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Solution

The fourth proportional to 107,052.76, 160,460.34 and 54,353.08 is: 81,469.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,052.76 : 160,460.34 = 54,353.08 : x
  2. Step 2: Convert to fraction form
    107,052.76/160,460.34 = 54,353.08/x
  3. Step 3: Cross multiply
    107,052.76x = 160,460.34 × 54,353.08
  4. Step 4: Simplify right side
    107,052.76x = 8,721,513,696.85
  5. Step 5: Solve for x
    x = 8,721,513,696.85/107,052.76
  6. Step 6: Final answer
    x = 81,469.30

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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.