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Finding the Fourth Proportional to 166,894, 230,319.12 and 91,447.36

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Solution

The fourth proportional to 166,894, 230,319.12 and 91,447.36 is: 126,200.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,894 : 230,319.12 = 91,447.36 : x
  2. Step 2: Convert to fraction form
    166,894/230,319.12 = 91,447.36/x
  3. Step 3: Cross multiply
    166,894x = 230,319.12 × 91,447.36
  4. Step 4: Simplify right side
    166,894x = 21,062,075,481.52
  5. Step 5: Solve for x
    x = 21,062,075,481.52/166,894
  6. Step 6: Final answer
    x = 126,200.32

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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.