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Finding the Fourth Proportional to 276,051.10, 414,076.65 and 181,572.70

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Solution

The fourth proportional to 276,051.10, 414,076.65 and 181,572.70 is: 272,359.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,051.10 : 414,076.65 = 181,572.70 : x
  2. Step 2: Convert to fraction form
    276,051.10/414,076.65 = 181,572.70/x
  3. Step 3: Cross multiply
    276,051.10x = 414,076.65 × 181,572.70
  4. Step 4: Simplify right side
    276,051.10x = 75,185,015,347.46
  5. Step 5: Solve for x
    x = 75,185,015,347.46/276,051.10
  6. Step 6: Final answer
    x = 272,359.05

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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.