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Finding the Fourth Proportional to 211,542.29, 317,015.08 and 116,815.12

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Solution

The fourth proportional to 211,542.29, 317,015.08 and 116,815.12 is: 175,057.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,542.29 : 317,015.08 = 116,815.12 : x
  2. Step 2: Convert to fraction form
    211,542.29/317,015.08 = 116,815.12/x
  3. Step 3: Cross multiply
    211,542.29x = 317,015.08 × 116,815.12
  4. Step 4: Simplify right side
    211,542.29x = 37,032,153,527.43
  5. Step 5: Solve for x
    x = 37,032,153,527.43/211,542.29
  6. Step 6: Final answer
    x = 175,057.92

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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.