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Finding the Fourth Proportional to 164,506.24, 227,019.33 and 89,054.74

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Solution

The fourth proportional to 164,506.24, 227,019.33 and 89,054.74 is: 122,895.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,506.24 : 227,019.33 = 89,054.74 : x
  2. Step 2: Convert to fraction form
    164,506.24/227,019.33 = 89,054.74/x
  3. Step 3: Cross multiply
    164,506.24x = 227,019.33 × 89,054.74
  4. Step 4: Simplify right side
    164,506.24x = 20,217,147,408.12
  5. Step 5: Solve for x
    x = 20,217,147,408.12/164,506.24
  6. Step 6: Final answer
    x = 122,895.93

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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.