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Finding the Fourth Proportional to 272,800.24, 409,261.42 and 83,277.46

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Solution

The fourth proportional to 272,800.24, 409,261.42 and 83,277.46 is: 124,934.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,800.24 : 409,261.42 = 83,277.46 : x
  2. Step 2: Convert to fraction form
    272,800.24/409,261.42 = 83,277.46/x
  3. Step 3: Cross multiply
    272,800.24x = 409,261.42 × 83,277.46
  4. Step 4: Simplify right side
    272,800.24x = 34,082,251,533.59
  5. Step 5: Solve for x
    x = 34,082,251,533.59/272,800.24
  6. Step 6: Final answer
    x = 124,934.83

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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.