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Finding the Fourth Proportional to 164,085.50, 226,438.11 and 88,634

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Solution

The fourth proportional to 164,085.50, 226,438.11 and 88,634 is: 122,314.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,085.50 : 226,438.11 = 88,634 : x
  2. Step 2: Convert to fraction form
    164,085.50/226,438.11 = 88,634/x
  3. Step 3: Cross multiply
    164,085.50x = 226,438.11 × 88,634
  4. Step 4: Simplify right side
    164,085.50x = 20,070,115,441.74
  5. Step 5: Solve for x
    x = 20,070,115,441.74/164,085.50
  6. Step 6: Final answer
    x = 122,314.98

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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.