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Finding the Fourth Proportional to 106,701.60, 159,841.80 and 54,148.80

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Solution

The fourth proportional to 106,701.60, 159,841.80 and 54,148.80 is: 81,116.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,701.60 : 159,841.80 = 54,148.80 : x
  2. Step 2: Convert to fraction form
    106,701.60/159,841.80 = 54,148.80/x
  3. Step 3: Cross multiply
    106,701.60x = 159,841.80 × 54,148.80
  4. Step 4: Simplify right side
    106,701.60x = 8,655,241,659.84
  5. Step 5: Solve for x
    x = 8,655,241,659.84/106,701.60
  6. Step 6: Final answer
    x = 81,116.32

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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.