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Finding the Fourth Proportional to 174,869.68, 262,253.04 and 68,229.76

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Solution

The fourth proportional to 174,869.68, 262,253.04 and 68,229.76 is: 102,324.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,869.68 : 262,253.04 = 68,229.76 : x
  2. Step 2: Convert to fraction form
    174,869.68/262,253.04 = 68,229.76/x
  3. Step 3: Cross multiply
    174,869.68x = 262,253.04 × 68,229.76
  4. Step 4: Simplify right side
    174,869.68x = 17,893,461,978.47
  5. Step 5: Solve for x
    x = 17,893,461,978.47/174,869.68
  6. Step 6: Final answer
    x = 102,324.55

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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.