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Finding the Fourth Proportional to 211,791.30, 292,252.95 and 116,295.90

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Solution

The fourth proportional to 211,791.30, 292,252.95 and 116,295.90 is: 160,477.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,791.30 : 292,252.95 = 116,295.90 : x
  2. Step 2: Convert to fraction form
    211,791.30/292,252.95 = 116,295.90/x
  3. Step 3: Cross multiply
    211,791.30x = 292,252.95 × 116,295.90
  4. Step 4: Simplify right side
    211,791.30x = 33,987,819,847.91
  5. Step 5: Solve for x
    x = 33,987,819,847.91/211,791.30
  6. Step 6: Final answer
    x = 160,477.88

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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.