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Finding the Fourth Proportional to 200,325.76, 276,636.84 and 128,829.92

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Solution

The fourth proportional to 200,325.76, 276,636.84 and 128,829.92 is: 177,905.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,325.76 : 276,636.84 = 128,829.92 : x
  2. Step 2: Convert to fraction form
    200,325.76/276,636.84 = 128,829.92/x
  3. Step 3: Cross multiply
    200,325.76x = 276,636.84 × 128,829.92
  4. Step 4: Simplify right side
    200,325.76x = 35,639,101,966.25
  5. Step 5: Solve for x
    x = 35,639,101,966.25/200,325.76
  6. Step 6: Final answer
    x = 177,905.74

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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.