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Finding the Fourth Proportional to 205,456.30, 307,666.05 and 163,984.30

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Solution

The fourth proportional to 205,456.30, 307,666.05 and 163,984.30 is: 245,562.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,456.30 : 307,666.05 = 163,984.30 : x
  2. Step 2: Convert to fraction form
    205,456.30/307,666.05 = 163,984.30/x
  3. Step 3: Cross multiply
    205,456.30x = 307,666.05 × 163,984.30
  4. Step 4: Simplify right side
    205,456.30x = 50,452,401,843.02
  5. Step 5: Solve for x
    x = 50,452,401,843.02/205,456.30
  6. Step 6: Final answer
    x = 245,562.69

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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.