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Finding the Fourth Proportional to 127,772.54, 176,326.34 and 76,786.05

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Solution

The fourth proportional to 127,772.54, 176,326.34 and 76,786.05 is: 105,964.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,772.54 : 176,326.34 = 76,786.05 : x
  2. Step 2: Convert to fraction form
    127,772.54/176,326.34 = 76,786.05/x
  3. Step 3: Cross multiply
    127,772.54x = 176,326.34 × 76,786.05
  4. Step 4: Simplify right side
    127,772.54x = 13,539,403,159.56
  5. Step 5: Solve for x
    x = 13,539,403,159.56/127,772.54
  6. Step 6: Final answer
    x = 105,964.89

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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.