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Finding the Fourth Proportional to 211,813.68, 317,627.22 and 99,525.84

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Solution

The fourth proportional to 211,813.68, 317,627.22 and 99,525.84 is: 149,244.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,813.68 : 317,627.22 = 99,525.84 : x
  2. Step 2: Convert to fraction form
    211,813.68/317,627.22 = 99,525.84/x
  3. Step 3: Cross multiply
    211,813.68x = 317,627.22 × 99,525.84
  4. Step 4: Simplify right side
    211,813.68x = 31,612,115,877.36
  5. Step 5: Solve for x
    x = 31,612,115,877.36/211,813.68
  6. Step 6: Final answer
    x = 149,244.92

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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.