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Finding the Fourth Proportional to 200,424.48, 276,593.04 and 111,000.48

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Solution

The fourth proportional to 200,424.48, 276,593.04 and 111,000.48 is: 153,184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,424.48 : 276,593.04 = 111,000.48 : x
  2. Step 2: Convert to fraction form
    200,424.48/276,593.04 = 111,000.48/x
  3. Step 3: Cross multiply
    200,424.48x = 276,593.04 × 111,000.48
  4. Step 4: Simplify right side
    200,424.48x = 30,701,960,204.66
  5. Step 5: Solve for x
    x = 30,701,960,204.66/200,424.48
  6. Step 6: Final answer
    x = 153,184.68

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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.