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Finding the Fourth Proportional to 200,076.30, 276,142.23 and 128,545.74

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Solution

The fourth proportional to 200,076.30, 276,142.23 and 128,545.74 is: 177,416.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,076.30 : 276,142.23 = 128,545.74 : x
  2. Step 2: Convert to fraction form
    200,076.30/276,142.23 = 128,545.74/x
  3. Step 3: Cross multiply
    200,076.30x = 276,142.23 × 128,545.74
  4. Step 4: Simplify right side
    200,076.30x = 35,496,907,300.60
  5. Step 5: Solve for x
    x = 35,496,907,300.60/200,076.30
  6. Step 6: Final answer
    x = 177,416.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.