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Finding the Fourth Proportional to 194,273.92, 291,353.28 and 83,440

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Solution

The fourth proportional to 194,273.92, 291,353.28 and 83,440 is: 125,135.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,273.92 : 291,353.28 = 83,440 : x
  2. Step 2: Convert to fraction form
    194,273.92/291,353.28 = 83,440/x
  3. Step 3: Cross multiply
    194,273.92x = 291,353.28 × 83,440
  4. Step 4: Simplify right side
    194,273.92x = 24,310,517,683.20
  5. Step 5: Solve for x
    x = 24,310,517,683.20/194,273.92
  6. Step 6: Final answer
    x = 125,135.26

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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.