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Finding the Fourth Proportional to 200,974, 277,345.20 and 125,566.24

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Solution

The fourth proportional to 200,974, 277,345.20 and 125,566.24 is: 173,282.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,974 : 277,345.20 = 125,566.24 : x
  2. Step 2: Convert to fraction form
    200,974/277,345.20 = 125,566.24/x
  3. Step 3: Cross multiply
    200,974x = 277,345.20 × 125,566.24
  4. Step 4: Simplify right side
    200,974x = 34,825,193,946.05
  5. Step 5: Solve for x
    x = 34,825,193,946.05/200,974
  6. Step 6: Final answer
    x = 173,282.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.