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Finding the Fourth Proportional to 205,088.80, 307,633.20 and 163,616.80

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Solution

The fourth proportional to 205,088.80, 307,633.20 and 163,616.80 is: 245,425.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,088.80 : 307,633.20 = 163,616.80 : x
  2. Step 2: Convert to fraction form
    205,088.80/307,633.20 = 163,616.80/x
  3. Step 3: Cross multiply
    205,088.80x = 307,633.20 × 163,616.80
  4. Step 4: Simplify right side
    205,088.80x = 50,333,959,757.76
  5. Step 5: Solve for x
    x = 50,333,959,757.76/205,088.80
  6. Step 6: Final answer
    x = 245,425.20

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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.