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Finding the Fourth Proportional to 211,758.66, 292,231.67 and 116,265.74

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Solution

The fourth proportional to 211,758.66, 292,231.67 and 116,265.74 is: 160,449.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,758.66 : 292,231.67 = 116,265.74 : x
  2. Step 2: Convert to fraction form
    211,758.66/292,231.67 = 116,265.74/x
  3. Step 3: Cross multiply
    211,758.66x = 292,231.67 × 116,265.74
  4. Step 4: Simplify right side
    211,758.66x = 33,976,529,321.50
  5. Step 5: Solve for x
    x = 33,976,529,321.50/211,758.66
  6. Step 6: Final answer
    x = 160,449.30

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.