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Finding the Fourth Proportional to 198,498.06, 297,682.29 and 65,347.02

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Solution

The fourth proportional to 198,498.06, 297,682.29 and 65,347.02 is: 97,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,498.06 : 297,682.29 = 65,347.02 : x
  2. Step 2: Convert to fraction form
    198,498.06/297,682.29 = 65,347.02/x
  3. Step 3: Cross multiply
    198,498.06x = 297,682.29 × 65,347.02
  4. Step 4: Simplify right side
    198,498.06x = 19,452,650,558.28
  5. Step 5: Solve for x
    x = 19,452,650,558.28/198,498.06
  6. Step 6: Final answer
    x = 97,999.20

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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.