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Finding the Fourth Proportional to 164,182.88, 226,572.36 and 88,731.40

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Solution

The fourth proportional to 164,182.88, 226,572.36 and 88,731.40 is: 122,449.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,182.88 : 226,572.36 = 88,731.40 : x
  2. Step 2: Convert to fraction form
    164,182.88/226,572.36 = 88,731.40/x
  3. Step 3: Cross multiply
    164,182.88x = 226,572.36 × 88,731.40
  4. Step 4: Simplify right side
    164,182.88x = 20,104,082,704.10
  5. Step 5: Solve for x
    x = 20,104,082,704.10/164,182.88
  6. Step 6: Final answer
    x = 122,449.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.