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Finding the Fourth Proportional to 213,001.70, 319,231.20 and 113,209.70

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Solution

The fourth proportional to 213,001.70, 319,231.20 and 113,209.70 is: 169,670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,001.70 : 319,231.20 = 113,209.70 : x
  2. Step 2: Convert to fraction form
    213,001.70/319,231.20 = 113,209.70/x
  3. Step 3: Cross multiply
    213,001.70x = 319,231.20 × 113,209.70
  4. Step 4: Simplify right side
    213,001.70x = 36,140,068,382.64
  5. Step 5: Solve for x
    x = 36,140,068,382.64/213,001.70
  6. Step 6: Final answer
    x = 169,670.33

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.