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Finding the Fourth Proportional to 211,538.70, 317,826.45 and 159,050.70

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Solution

The fourth proportional to 211,538.70, 317,826.45 and 159,050.70 is: 238,965.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,538.70 : 317,826.45 = 159,050.70 : x
  2. Step 2: Convert to fraction form
    211,538.70/317,826.45 = 159,050.70/x
  3. Step 3: Cross multiply
    211,538.70x = 317,826.45 × 159,050.70
  4. Step 4: Simplify right side
    211,538.70x = 50,550,519,351.02
  5. Step 5: Solve for x
    x = 50,550,519,351.02/211,538.70
  6. Step 6: Final answer
    x = 238,965.82

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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.