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Finding the Fourth Proportional to 186,882.84, 257,895.72 and 101,998.44

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Solution

The fourth proportional to 186,882.84, 257,895.72 and 101,998.44 is: 140,756.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,882.84 : 257,895.72 = 101,998.44 : x
  2. Step 2: Convert to fraction form
    186,882.84/257,895.72 = 101,998.44/x
  3. Step 3: Cross multiply
    186,882.84x = 257,895.72 × 101,998.44
  4. Step 4: Simplify right side
    186,882.84x = 26,304,961,122.68
  5. Step 5: Solve for x
    x = 26,304,961,122.68/186,882.84
  6. Step 6: Final answer
    x = 140,756.43

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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.