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Finding the Fourth Proportional to 158,257.55, 218,398.13 and 97,826.64

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Solution

The fourth proportional to 158,257.55, 218,398.13 and 97,826.64 is: 135,002.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,257.55 : 218,398.13 = 97,826.64 : x
  2. Step 2: Convert to fraction form
    158,257.55/218,398.13 = 97,826.64/x
  3. Step 3: Cross multiply
    158,257.55x = 218,398.13 × 97,826.64
  4. Step 4: Simplify right side
    158,257.55x = 21,365,155,240.18
  5. Step 5: Solve for x
    x = 21,365,155,240.18/158,257.55
  6. Step 6: Final answer
    x = 135,002.44

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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.