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Finding the Fourth Proportional to 208,102.60, 312,096.30 and 83,456.20

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Solution

The fourth proportional to 208,102.60, 312,096.30 and 83,456.20 is: 125,161.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,102.60 : 312,096.30 = 83,456.20 : x
  2. Step 2: Convert to fraction form
    208,102.60/312,096.30 = 83,456.20/x
  3. Step 3: Cross multiply
    208,102.60x = 312,096.30 × 83,456.20
  4. Step 4: Simplify right side
    208,102.60x = 26,046,371,232.06
  5. Step 5: Solve for x
    x = 26,046,371,232.06/208,102.60
  6. Step 6: Final answer
    x = 125,161.20

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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.