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Finding the Fourth Proportional to 76,223.13, 105,177.39 and 42,223.17

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Solution

The fourth proportional to 76,223.13, 105,177.39 and 42,223.17 is: 58,262.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,223.13 : 105,177.39 = 42,223.17 : x
  2. Step 2: Convert to fraction form
    76,223.13/105,177.39 = 42,223.17/x
  3. Step 3: Cross multiply
    76,223.13x = 105,177.39 × 42,223.17
  4. Step 4: Simplify right side
    76,223.13x = 4,440,923,054.20
  5. Step 5: Solve for x
    x = 4,440,923,054.20/76,223.13
  6. Step 6: Final answer
    x = 58,262.15

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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.