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Finding the Fourth Proportional to 164,378.50, 226,842.60 and 88,927

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Solution

The fourth proportional to 164,378.50, 226,842.60 and 88,927 is: 122,719.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,378.50 : 226,842.60 = 88,927 : x
  2. Step 2: Convert to fraction form
    164,378.50/226,842.60 = 88,927/x
  3. Step 3: Cross multiply
    164,378.50x = 226,842.60 × 88,927
  4. Step 4: Simplify right side
    164,378.50x = 20,172,431,890.20
  5. Step 5: Solve for x
    x = 20,172,431,890.20/164,378.50
  6. Step 6: Final answer
    x = 122,719.41

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1.5x scale

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.