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Finding the Fourth Proportional to 98,798.34, 148,204.10 and 34,748.80

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Solution

The fourth proportional to 98,798.34, 148,204.10 and 34,748.80 is: 52,125.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,798.34 : 148,204.10 = 34,748.80 : x
  2. Step 2: Convert to fraction form
    98,798.34/148,204.10 = 34,748.80/x
  3. Step 3: Cross multiply
    98,798.34x = 148,204.10 × 34,748.80
  4. Step 4: Simplify right side
    98,798.34x = 5,149,914,346.44
  5. Step 5: Solve for x
    x = 5,149,914,346.44/98,798.34
  6. Step 6: Final answer
    x = 52,125.51

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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.