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Finding the Fourth Proportional to 272,953.52, 409,119.67 and 166,101.81

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Solution

The fourth proportional to 272,953.52, 409,119.67 and 166,101.81 is: 248,963.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,953.52 : 409,119.67 = 166,101.81 : x
  2. Step 2: Convert to fraction form
    272,953.52/409,119.67 = 166,101.81/x
  3. Step 3: Cross multiply
    272,953.52x = 409,119.67 × 166,101.81
  4. Step 4: Simplify right side
    272,953.52x = 67,955,517,693.60
  5. Step 5: Solve for x
    x = 67,955,517,693.60/272,953.52
  6. Step 6: Final answer
    x = 248,963.70

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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.