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Finding the Fourth Proportional to 270,548.52, 405,558.94 and 112,822.12

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Solution

The fourth proportional to 270,548.52, 405,558.94 and 112,822.12 is: 169,123.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,548.52 : 405,558.94 = 112,822.12 : x
  2. Step 2: Convert to fraction form
    270,548.52/405,558.94 = 112,822.12/x
  3. Step 3: Cross multiply
    270,548.52x = 405,558.94 × 112,822.12
  4. Step 4: Simplify right side
    270,548.52x = 45,756,019,395.75
  5. Step 5: Solve for x
    x = 45,756,019,395.75/270,548.52
  6. Step 6: Final answer
    x = 169,123.16

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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.