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Finding the Fourth Proportional to 213,294.60, 294,344.10 and 116,497.98

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Solution

The fourth proportional to 213,294.60, 294,344.10 and 116,497.98 is: 160,765.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,294.60 : 294,344.10 = 116,497.98 : x
  2. Step 2: Convert to fraction form
    213,294.60/294,344.10 = 116,497.98/x
  3. Step 3: Cross multiply
    213,294.60x = 294,344.10 × 116,497.98
  4. Step 4: Simplify right side
    213,294.60x = 34,290,493,074.92
  5. Step 5: Solve for x
    x = 34,290,493,074.92/213,294.60
  6. Step 6: Final answer
    x = 160,765.88

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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.