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Finding the Fourth Proportional to 152,717.89, 228,984.80 and 68,462.80

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Solution

The fourth proportional to 152,717.89, 228,984.80 and 68,462.80 is: 102,652.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,717.89 : 228,984.80 = 68,462.80 : x
  2. Step 2: Convert to fraction form
    152,717.89/228,984.80 = 68,462.80/x
  3. Step 3: Cross multiply
    152,717.89x = 228,984.80 × 68,462.80
  4. Step 4: Simplify right side
    152,717.89x = 15,676,940,223.13
  5. Step 5: Solve for x
    x = 15,676,940,223.13/152,717.89
  6. Step 6: Final answer
    x = 102,652.94

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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.