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Finding the Fourth Proportional to 211,791.42, 292,275.74 and 116,307

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Solution

The fourth proportional to 211,791.42, 292,275.74 and 116,307 is: 160,505.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,791.42 : 292,275.74 = 116,307 : x
  2. Step 2: Convert to fraction form
    211,791.42/292,275.74 = 116,307/x
  3. Step 3: Cross multiply
    211,791.42x = 292,275.74 × 116,307
  4. Step 4: Simplify right side
    211,791.42x = 33,993,713,910.65
  5. Step 5: Solve for x
    x = 33,993,713,910.65/211,791.42
  6. Step 6: Final answer
    x = 160,505.62

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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.