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Finding the Fourth Proportional to 98,823.20, 148,234.80 and 59,424.80

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Solution

The fourth proportional to 98,823.20, 148,234.80 and 59,424.80 is: 89,137.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,823.20 : 148,234.80 = 59,424.80 : x
  2. Step 2: Convert to fraction form
    98,823.20/148,234.80 = 59,424.80/x
  3. Step 3: Cross multiply
    98,823.20x = 148,234.80 × 59,424.80
  4. Step 4: Simplify right side
    98,823.20x = 8,808,823,343.04
  5. Step 5: Solve for x
    x = 8,808,823,343.04/98,823.20
  6. Step 6: Final answer
    x = 89,137.20

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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.