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Finding the Fourth Proportional to 175,098.80, 262,648.20 and 48,738.80

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Solution

The fourth proportional to 175,098.80, 262,648.20 and 48,738.80 is: 73,108.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,098.80 : 262,648.20 = 48,738.80 : x
  2. Step 2: Convert to fraction form
    175,098.80/262,648.20 = 48,738.80/x
  3. Step 3: Cross multiply
    175,098.80x = 262,648.20 × 48,738.80
  4. Step 4: Simplify right side
    175,098.80x = 12,801,158,090.16
  5. Step 5: Solve for x
    x = 12,801,158,090.16/175,098.80
  6. Step 6: Final answer
    x = 73,108.20

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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.