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Finding the Fourth Proportional to 222,421.32, 306,943.38 and 126,927

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Solution

The fourth proportional to 222,421.32, 306,943.38 and 126,927 is: 175,160.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,421.32 : 306,943.38 = 126,927 : x
  2. Step 2: Convert to fraction form
    222,421.32/306,943.38 = 126,927/x
  3. Step 3: Cross multiply
    222,421.32x = 306,943.38 × 126,927
  4. Step 4: Simplify right side
    222,421.32x = 38,959,402,393.26
  5. Step 5: Solve for x
    x = 38,959,402,393.26/222,421.32
  6. Step 6: Final answer
    x = 175,160.38

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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.