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Finding the Fourth Proportional to 205,057.80, 307,635.30 and 105,233.40

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Solution

The fourth proportional to 205,057.80, 307,635.30 and 105,233.40 is: 157,875.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,057.80 : 307,635.30 = 105,233.40 : x
  2. Step 2: Convert to fraction form
    205,057.80/307,635.30 = 105,233.40/x
  3. Step 3: Cross multiply
    205,057.80x = 307,635.30 × 105,233.40
  4. Step 4: Simplify right side
    205,057.80x = 32,373,508,579.02
  5. Step 5: Solve for x
    x = 32,373,508,579.02/205,057.80
  6. Step 6: Final answer
    x = 157,875.04

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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.