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Finding the Fourth Proportional to 200,257.92, 276,424.92 and 115,408.80

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Solution

The fourth proportional to 200,257.92, 276,424.92 and 115,408.80 is: 159,303.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,257.92 : 276,424.92 = 115,408.80 : x
  2. Step 2: Convert to fraction form
    200,257.92/276,424.92 = 115,408.80/x
  3. Step 3: Cross multiply
    200,257.92x = 276,424.92 × 115,408.80
  4. Step 4: Simplify right side
    200,257.92x = 31,901,868,307.30
  5. Step 5: Solve for x
    x = 31,901,868,307.30/200,257.92
  6. Step 6: Final answer
    x = 159,303.90

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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.