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Finding the Fourth Proportional to 239,257.74, 358,248.33 and 189,439.50

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Solution

The fourth proportional to 239,257.74, 358,248.33 and 189,439.50 is: 283,653.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,257.74 : 358,248.33 = 189,439.50 : x
  2. Step 2: Convert to fraction form
    239,257.74/358,248.33 = 189,439.50/x
  3. Step 3: Cross multiply
    239,257.74x = 358,248.33 × 189,439.50
  4. Step 4: Simplify right side
    239,257.74x = 67,866,384,511.04
  5. Step 5: Solve for x
    x = 67,866,384,511.04/239,257.74
  6. Step 6: Final answer
    x = 283,653.87

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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.