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Finding the Fourth Proportional to 199,575.48, 299,148.96 and 99,538.04

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Solution

The fourth proportional to 199,575.48, 299,148.96 and 99,538.04 is: 149,200.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,575.48 : 299,148.96 = 99,538.04 : x
  2. Step 2: Convert to fraction form
    199,575.48/299,148.96 = 99,538.04/x
  3. Step 3: Cross multiply
    199,575.48x = 299,148.96 × 99,538.04
  4. Step 4: Simplify right side
    199,575.48x = 29,776,701,146.44
  5. Step 5: Solve for x
    x = 29,776,701,146.44/199,575.48
  6. Step 6: Final answer
    x = 149,200.20

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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.