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Finding the Fourth Proportional to 238,963.20, 358,444.80 and 202,099.20

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Solution

The fourth proportional to 238,963.20, 358,444.80 and 202,099.20 is: 303,148.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,963.20 : 358,444.80 = 202,099.20 : x
  2. Step 2: Convert to fraction form
    238,963.20/358,444.80 = 202,099.20/x
  3. Step 3: Cross multiply
    238,963.20x = 358,444.80 × 202,099.20
  4. Step 4: Simplify right side
    238,963.20x = 72,441,407,324.16
  5. Step 5: Solve for x
    x = 72,441,407,324.16/238,963.20
  6. Step 6: Final answer
    x = 303,148.80

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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.