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Finding the Fourth Proportional to 211,791.80, 292,253.64 and 116,296.40

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Solution

The fourth proportional to 211,791.80, 292,253.64 and 116,296.40 is: 160,478.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,791.80 : 292,253.64 = 116,296.40 : x
  2. Step 2: Convert to fraction form
    211,791.80/292,253.64 = 116,296.40/x
  3. Step 3: Cross multiply
    211,791.80x = 292,253.64 × 116,296.40
  4. Step 4: Simplify right side
    211,791.80x = 33,988,046,218.90
  5. Step 5: Solve for x
    x = 33,988,046,218.90/211,791.80
  6. Step 6: Final answer
    x = 160,478.57

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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.