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Finding the Fourth Proportional to 174,657.03, 261,960.03 and 85,886.70

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Solution

The fourth proportional to 174,657.03, 261,960.03 and 85,886.70 is: 128,817.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,657.03 : 261,960.03 = 85,886.70 : x
  2. Step 2: Convert to fraction form
    174,657.03/261,960.03 = 85,886.70/x
  3. Step 3: Cross multiply
    174,657.03x = 261,960.03 × 85,886.70
  4. Step 4: Simplify right side
    174,657.03x = 22,498,882,508.60
  5. Step 5: Solve for x
    x = 22,498,882,508.60/174,657.03
  6. Step 6: Final answer
    x = 128,817.50

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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.