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Finding the Fourth Proportional to 200,872.76, 277,203.60 and 110,230.24

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Solution

The fourth proportional to 200,872.76, 277,203.60 and 110,230.24 is: 152,117.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,872.76 : 277,203.60 = 110,230.24 : x
  2. Step 2: Convert to fraction form
    200,872.76/277,203.60 = 110,230.24/x
  3. Step 3: Cross multiply
    200,872.76x = 277,203.60 × 110,230.24
  4. Step 4: Simplify right side
    200,872.76x = 30,556,219,356.86
  5. Step 5: Solve for x
    x = 30,556,219,356.86/200,872.76
  6. Step 6: Final answer
    x = 152,117.29

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1.5x scale

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.