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Finding the Fourth Proportional to 198,851.56, 298,234.14 and 65,700.28

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Solution

The fourth proportional to 198,851.56, 298,234.14 and 65,700.28 is: 98,536.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,851.56 : 298,234.14 = 65,700.28 : x
  2. Step 2: Convert to fraction form
    198,851.56/298,234.14 = 65,700.28/x
  3. Step 3: Cross multiply
    198,851.56x = 298,234.14 × 65,700.28
  4. Step 4: Simplify right side
    198,851.56x = 19,594,066,503.56
  5. Step 5: Solve for x
    x = 19,594,066,503.56/198,851.56
  6. Step 6: Final answer
    x = 98,536.15

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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.