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Finding the Fourth Proportional to 211,780.44, 292,266.54 and 126,895.68

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Solution

The fourth proportional to 211,780.44, 292,266.54 and 126,895.68 is: 175,121.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,780.44 : 292,266.54 = 126,895.68 : x
  2. Step 2: Convert to fraction form
    211,780.44/292,266.54 = 126,895.68/x
  3. Step 3: Cross multiply
    211,780.44x = 292,266.54 × 126,895.68
  4. Step 4: Simplify right side
    211,780.44x = 37,087,361,334.55
  5. Step 5: Solve for x
    x = 37,087,361,334.55/211,780.44
  6. Step 6: Final answer
    x = 175,121.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.