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Finding the Fourth Proportional to 339,054, 467,909.10 and 188,151

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Solution

The fourth proportional to 339,054, 467,909.10 and 188,151 is: 259,656.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,054 : 467,909.10 = 188,151 : x
  2. Step 2: Convert to fraction form
    339,054/467,909.10 = 188,151/x
  3. Step 3: Cross multiply
    339,054x = 467,909.10 × 188,151
  4. Step 4: Simplify right side
    339,054x = 88,037,565,074.10
  5. Step 5: Solve for x
    x = 88,037,565,074.10/339,054
  6. Step 6: Final answer
    x = 259,656.47

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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.