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Finding the Fourth Proportional to 198,689.40, 298,034.10 and 65,590.20

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Solution

The fourth proportional to 198,689.40, 298,034.10 and 65,590.20 is: 98,385.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,689.40 : 298,034.10 = 65,590.20 : x
  2. Step 2: Convert to fraction form
    198,689.40/298,034.10 = 65,590.20/x
  3. Step 3: Cross multiply
    198,689.40x = 298,034.10 × 65,590.20
  4. Step 4: Simplify right side
    198,689.40x = 19,548,116,225.82
  5. Step 5: Solve for x
    x = 19,548,116,225.82/198,689.40
  6. Step 6: Final answer
    x = 98,385.30

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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.