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Finding the Fourth Proportional to 211,767.48, 317,698.62 and 71,522.46

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Solution

The fourth proportional to 211,767.48, 317,698.62 and 71,522.46 is: 107,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,767.48 : 317,698.62 = 71,522.46 : x
  2. Step 2: Convert to fraction form
    211,767.48/317,698.62 = 71,522.46/x
  3. Step 3: Cross multiply
    211,767.48x = 317,698.62 × 71,522.46
  4. Step 4: Simplify right side
    211,767.48x = 22,722,586,841.01
  5. Step 5: Solve for x
    x = 22,722,586,841.01/211,767.48
  6. Step 6: Final answer
    x = 107,299.70

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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.