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Finding the Fourth Proportional to 198,257.34, 297,362.76 and 65,104.81

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Solution

The fourth proportional to 198,257.34, 297,362.76 and 65,104.81 is: 97,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,257.34 : 297,362.76 = 65,104.81 : x
  2. Step 2: Convert to fraction form
    198,257.34/297,362.76 = 65,104.81/x
  3. Step 3: Cross multiply
    198,257.34x = 297,362.76 × 65,104.81
  4. Step 4: Simplify right side
    198,257.34x = 19,359,747,042.21
  5. Step 5: Solve for x
    x = 19,359,747,042.21/198,257.34
  6. Step 6: Final answer
    x = 97,649.59

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1.5x scale

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.