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Finding the Fourth Proportional to 198,302.95, 297,423.58 and 65,182.28

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Solution

The fourth proportional to 198,302.95, 297,423.58 and 65,182.28 is: 97,763.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,302.95 : 297,423.58 = 65,182.28 : x
  2. Step 2: Convert to fraction form
    198,302.95/297,423.58 = 65,182.28/x
  3. Step 3: Cross multiply
    198,302.95x = 297,423.58 × 65,182.28
  4. Step 4: Simplify right side
    198,302.95x = 19,386,747,070.16
  5. Step 5: Solve for x
    x = 19,386,747,070.16/198,302.95
  6. Step 6: Final answer
    x = 97,763.28

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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.