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Finding the Fourth Proportional to 198,597.72, 297,728.76 and 86,192.94

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Solution

The fourth proportional to 198,597.72, 297,728.76 and 86,192.94 is: 129,216.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,597.72 : 297,728.76 = 86,192.94 : x
  2. Step 2: Convert to fraction form
    198,597.72/297,728.76 = 86,192.94/x
  3. Step 3: Cross multiply
    198,597.72x = 297,728.76 × 86,192.94
  4. Step 4: Simplify right side
    198,597.72x = 25,662,117,146.95
  5. Step 5: Solve for x
    x = 25,662,117,146.95/198,597.72
  6. Step 6: Final answer
    x = 129,216.57

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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.