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Finding the Fourth Proportional to 238,092.32, 357,138.48 and 185,541.14

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Solution

The fourth proportional to 238,092.32, 357,138.48 and 185,541.14 is: 278,311.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,092.32 : 357,138.48 = 185,541.14 : x
  2. Step 2: Convert to fraction form
    238,092.32/357,138.48 = 185,541.14/x
  3. Step 3: Cross multiply
    238,092.32x = 357,138.48 × 185,541.14
  4. Step 4: Simplify right side
    238,092.32x = 66,263,880,717.07
  5. Step 5: Solve for x
    x = 66,263,880,717.07/238,092.32
  6. Step 6: Final answer
    x = 278,311.71

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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.