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Finding the Fourth Proportional to 200,894.40, 277,225.54 and 110,251.87

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Solution

The fourth proportional to 200,894.40, 277,225.54 and 110,251.87 is: 152,142.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,894.40 : 277,225.54 = 110,251.87 : x
  2. Step 2: Convert to fraction form
    200,894.40/277,225.54 = 110,251.87/x
  3. Step 3: Cross multiply
    200,894.40x = 277,225.54 × 110,251.87
  4. Step 4: Simplify right side
    200,894.40x = 30,564,635,095.30
  5. Step 5: Solve for x
    x = 30,564,635,095.30/200,894.40
  6. Step 6: Final answer
    x = 152,142.79

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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.