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Finding the Fourth Proportional to 238,083.58, 357,125.37 and 185,532.40

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Solution

The fourth proportional to 238,083.58, 357,125.37 and 185,532.40 is: 278,298.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,083.58 : 357,125.37 = 185,532.40 : x
  2. Step 2: Convert to fraction form
    238,083.58/357,125.37 = 185,532.40/x
  3. Step 3: Cross multiply
    238,083.58x = 357,125.37 × 185,532.40
  4. Step 4: Simplify right side
    238,083.58x = 66,258,324,283.70
  5. Step 5: Solve for x
    x = 66,258,324,283.70/238,083.58
  6. Step 6: Final answer
    x = 278,298.59

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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.