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Finding the Fourth Proportional to 211,633.38, 292,062.48 and 116,143.52

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Solution

The fourth proportional to 211,633.38, 292,062.48 and 116,143.52 is: 160,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,633.38 : 292,062.48 = 116,143.52 : x
  2. Step 2: Convert to fraction form
    211,633.38/292,062.48 = 116,143.52/x
  3. Step 3: Cross multiply
    211,633.38x = 292,062.48 × 116,143.52
  4. Step 4: Simplify right side
    211,633.38x = 33,921,164,487.13
  5. Step 5: Solve for x
    x = 33,921,164,487.13/211,633.38
  6. Step 6: Final answer
    x = 160,282.68

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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.