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Finding the Fourth Proportional to 257,758.68, 386,642.40 and 89,283.99

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Solution

The fourth proportional to 257,758.68, 386,642.40 and 89,283.99 is: 133,927.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,758.68 : 386,642.40 = 89,283.99 : x
  2. Step 2: Convert to fraction form
    257,758.68/386,642.40 = 89,283.99/x
  3. Step 3: Cross multiply
    257,758.68x = 386,642.40 × 89,283.99
  4. Step 4: Simplify right side
    257,758.68x = 34,520,976,175.18
  5. Step 5: Solve for x
    x = 34,520,976,175.18/257,758.68
  6. Step 6: Final answer
    x = 133,927.50

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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.