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Finding the Fourth Proportional to 200,976.50, 277,330.07 and 110,332.10

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Solution

The fourth proportional to 200,976.50, 277,330.07 and 110,332.10 is: 152,248.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,976.50 : 277,330.07 = 110,332.10 : x
  2. Step 2: Convert to fraction form
    200,976.50/277,330.07 = 110,332.10/x
  3. Step 3: Cross multiply
    200,976.50x = 277,330.07 × 110,332.10
  4. Step 4: Simplify right side
    200,976.50x = 30,598,407,077.94
  5. Step 5: Solve for x
    x = 30,598,407,077.94/200,976.50
  6. Step 6: Final answer
    x = 152,248.68

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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.