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Finding the Fourth Proportional to 226,932.80, 342,098.48 and 211,709.12

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Solution

The fourth proportional to 226,932.80, 342,098.48 and 211,709.12 is: 319,148.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,932.80 : 342,098.48 = 211,709.12 : x
  2. Step 2: Convert to fraction form
    226,932.80/342,098.48 = 211,709.12/x
  3. Step 3: Cross multiply
    226,932.80x = 342,098.48 × 211,709.12
  4. Step 4: Simplify right side
    226,932.80x = 72,425,368,154.14
  5. Step 5: Solve for x
    x = 72,425,368,154.14/226,932.80
  6. Step 6: Final answer
    x = 319,148.96

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.