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Finding the Fourth Proportional to 193,046.52, 266,314.10 and 121,466.02

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Solution

The fourth proportional to 193,046.52, 266,314.10 and 121,466.02 is: 167,566.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,046.52 : 266,314.10 = 121,466.02 : x
  2. Step 2: Convert to fraction form
    193,046.52/266,314.10 = 121,466.02/x
  3. Step 3: Cross multiply
    193,046.52x = 266,314.10 × 121,466.02
  4. Step 4: Simplify right side
    193,046.52x = 32,348,113,796.88
  5. Step 5: Solve for x
    x = 32,348,113,796.88/193,046.52
  6. Step 6: Final answer
    x = 167,566.42

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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.