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Finding the Fourth Proportional to 164,234.56, 226,643.82 and 88,783.04

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Solution

The fourth proportional to 164,234.56, 226,643.82 and 88,783.04 is: 122,520.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,234.56 : 226,643.82 = 88,783.04 : x
  2. Step 2: Convert to fraction form
    164,234.56/226,643.82 = 88,783.04/x
  3. Step 3: Cross multiply
    164,234.56x = 226,643.82 × 88,783.04
  4. Step 4: Simplify right side
    164,234.56x = 20,122,127,336.81
  5. Step 5: Solve for x
    x = 20,122,127,336.81/164,234.56
  6. Step 6: Final answer
    x = 122,520.66

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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.