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Finding the Fourth Proportional to 200,671.41, 301,038.27 and 67,541.28

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Solution

The fourth proportional to 200,671.41, 301,038.27 and 67,541.28 is: 101,322.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,671.41 : 301,038.27 = 67,541.28 : x
  2. Step 2: Convert to fraction form
    200,671.41/301,038.27 = 67,541.28/x
  3. Step 3: Cross multiply
    200,671.41x = 301,038.27 × 67,541.28
  4. Step 4: Simplify right side
    200,671.41x = 20,332,510,084.79
  5. Step 5: Solve for x
    x = 20,332,510,084.79/200,671.41
  6. Step 6: Final answer
    x = 101,322.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.