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Finding the Fourth Proportional to 85,414.30, 127,927.05 and 83,470.30

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Solution

The fourth proportional to 85,414.30, 127,927.05 and 83,470.30 is: 125,015.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,414.30 : 127,927.05 = 83,470.30 : x
  2. Step 2: Convert to fraction form
    85,414.30/127,927.05 = 83,470.30/x
  3. Step 3: Cross multiply
    85,414.30x = 127,927.05 × 83,470.30
  4. Step 4: Simplify right side
    85,414.30x = 10,678,109,241.62
  5. Step 5: Solve for x
    x = 10,678,109,241.62/85,414.30
  6. Step 6: Final answer
    x = 125,015.47

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1.5x scale

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.