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Finding the Fourth Proportional to 192,662.80, 288,605.40 and 133,565.20

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Solution

The fourth proportional to 192,662.80, 288,605.40 and 133,565.20 is: 200,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,662.80 : 288,605.40 = 133,565.20 : x
  2. Step 2: Convert to fraction form
    192,662.80/288,605.40 = 133,565.20/x
  3. Step 3: Cross multiply
    192,662.80x = 288,605.40 × 133,565.20
  4. Step 4: Simplify right side
    192,662.80x = 38,547,637,972.08
  5. Step 5: Solve for x
    x = 38,547,637,972.08/192,662.80
  6. Step 6: Final answer
    x = 200,078.26

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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.