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Finding the Fourth Proportional to 164,703.85, 227,291.57 and 89,252.35

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Solution

The fourth proportional to 164,703.85, 227,291.57 and 89,252.35 is: 123,168.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,703.85 : 227,291.57 = 89,252.35 : x
  2. Step 2: Convert to fraction form
    164,703.85/227,291.57 = 89,252.35/x
  3. Step 3: Cross multiply
    164,703.85x = 227,291.57 × 89,252.35
  4. Step 4: Simplify right side
    164,703.85x = 20,286,306,077.90
  5. Step 5: Solve for x
    x = 20,286,306,077.90/164,703.85
  6. Step 6: Final answer
    x = 123,168.38

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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.