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Finding the Fourth Proportional to 211,460.76, 291,773.48 and 120,846.47

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Solution

The fourth proportional to 211,460.76, 291,773.48 and 120,846.47 is: 166,743.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,460.76 : 291,773.48 = 120,846.47 : x
  2. Step 2: Convert to fraction form
    211,460.76/291,773.48 = 120,846.47/x
  3. Step 3: Cross multiply
    211,460.76x = 291,773.48 × 120,846.47
  4. Step 4: Simplify right side
    211,460.76x = 35,259,793,034.52
  5. Step 5: Solve for x
    x = 35,259,793,034.52/211,460.76
  6. Step 6: Final answer
    x = 166,743.91

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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.