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Finding the Fourth Proportional to 211,530.80, 317,219.40 and 106,314.80

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Solution

The fourth proportional to 211,530.80, 317,219.40 and 106,314.80 is: 159,433.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,530.80 : 317,219.40 = 106,314.80 : x
  2. Step 2: Convert to fraction form
    211,530.80/317,219.40 = 106,314.80/x
  3. Step 3: Cross multiply
    211,530.80x = 317,219.40 × 106,314.80
  4. Step 4: Simplify right side
    211,530.80x = 33,725,117,067.12
  5. Step 5: Solve for x
    x = 33,725,117,067.12/211,530.80
  6. Step 6: Final answer
    x = 159,433.60

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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.