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Finding the Fourth Proportional to 186,846.66, 257,780.97 and 143,839.32

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Solution

The fourth proportional to 186,846.66, 257,780.97 and 143,839.32 is: 198,446.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,846.66 : 257,780.97 = 143,839.32 : x
  2. Step 2: Convert to fraction form
    186,846.66/257,780.97 = 143,839.32/x
  3. Step 3: Cross multiply
    186,846.66x = 257,780.97 × 143,839.32
  4. Step 4: Simplify right side
    186,846.66x = 37,079,039,433.74
  5. Step 5: Solve for x
    x = 37,079,039,433.74/186,846.66
  6. Step 6: Final answer
    x = 198,446.36

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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.