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Finding the Fourth Proportional to 127,739.42, 176,271.96 and 76,721.84

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Solution

The fourth proportional to 127,739.42, 176,271.96 and 76,721.84 is: 105,871.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,739.42 : 176,271.96 = 76,721.84 : x
  2. Step 2: Convert to fraction form
    127,739.42/176,271.96 = 76,721.84/x
  3. Step 3: Cross multiply
    127,739.42x = 176,271.96 × 76,721.84
  4. Step 4: Simplify right side
    127,739.42x = 13,523,908,230.25
  5. Step 5: Solve for x
    x = 13,523,908,230.25/127,739.42
  6. Step 6: Final answer
    x = 105,871.07

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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.