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Finding the Fourth Proportional to 206,875.30, 310,312.95 and 82,216.30

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Solution

The fourth proportional to 206,875.30, 310,312.95 and 82,216.30 is: 123,324.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,875.30 : 310,312.95 = 82,216.30 : x
  2. Step 2: Convert to fraction form
    206,875.30/310,312.95 = 82,216.30/x
  3. Step 3: Cross multiply
    206,875.30x = 310,312.95 × 82,216.30
  4. Step 4: Simplify right side
    206,875.30x = 25,512,782,591.09
  5. Step 5: Solve for x
    x = 25,512,782,591.09/206,875.30
  6. Step 6: Final answer
    x = 123,324.45

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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.