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Finding the Fourth Proportional to 83,198.84, 114,801.11 and 47,389.55

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Solution

The fourth proportional to 83,198.84, 114,801.11 and 47,389.55 is: 65,390.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,198.84 : 114,801.11 = 47,389.55 : x
  2. Step 2: Convert to fraction form
    83,198.84/114,801.11 = 47,389.55/x
  3. Step 3: Cross multiply
    83,198.84x = 114,801.11 × 47,389.55
  4. Step 4: Simplify right side
    83,198.84x = 5,440,372,131.45
  5. Step 5: Solve for x
    x = 5,440,372,131.45/83,198.84
  6. Step 6: Final answer
    x = 65,390.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.