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Finding the Fourth Proportional to 350,098.20, 525,098.16 and 199,851.12

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Solution

The fourth proportional to 350,098.20, 525,098.16 and 199,851.12 is: 299,748.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,098.20 : 525,098.16 = 199,851.12 : x
  2. Step 2: Convert to fraction form
    350,098.20/525,098.16 = 199,851.12/x
  3. Step 3: Cross multiply
    350,098.20x = 525,098.16 × 199,851.12
  4. Step 4: Simplify right side
    350,098.20x = 104,941,455,385.94
  5. Step 5: Solve for x
    x = 104,941,455,385.94/350,098.20
  6. Step 6: Final answer
    x = 299,748.63

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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.