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Finding the Fourth Proportional to 127,770.35, 176,323.33 and 76,783.86

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Solution

The fourth proportional to 127,770.35, 176,323.33 and 76,783.86 is: 105,961.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,770.35 : 176,323.33 = 76,783.86 : x
  2. Step 2: Convert to fraction form
    127,770.35/176,323.33 = 76,783.86/x
  3. Step 3: Cross multiply
    127,770.35x = 176,323.33 × 76,783.86
  4. Step 4: Simplify right side
    127,770.35x = 13,538,785,060.73
  5. Step 5: Solve for x
    x = 13,538,785,060.73/127,770.35
  6. Step 6: Final answer
    x = 105,961.87

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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.