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Finding the Fourth Proportional to 267,224.23, 400,862.73 and 77,686.34

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Solution

The fourth proportional to 267,224.23, 400,862.73 and 77,686.34 is: 116,537.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,224.23 : 400,862.73 = 77,686.34 : x
  2. Step 2: Convert to fraction form
    267,224.23/400,862.73 = 77,686.34/x
  3. Step 3: Cross multiply
    267,224.23x = 400,862.73 × 77,686.34
  4. Step 4: Simplify right side
    267,224.23x = 31,141,558,336.11
  5. Step 5: Solve for x
    x = 31,141,558,336.11/267,224.23
  6. Step 6: Final answer
    x = 116,537.18

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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.