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Finding the Fourth Proportional to 200,353, 276,487.14 and 110,934.76

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Solution

The fourth proportional to 200,353, 276,487.14 and 110,934.76 is: 153,089.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,353 : 276,487.14 = 110,934.76 : x
  2. Step 2: Convert to fraction form
    200,353/276,487.14 = 110,934.76/x
  3. Step 3: Cross multiply
    200,353x = 276,487.14 × 110,934.76
  4. Step 4: Simplify right side
    200,353x = 30,672,034,518.99
  5. Step 5: Solve for x
    x = 30,672,034,518.99/200,353
  6. Step 6: Final answer
    x = 153,089.97

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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.