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Finding the Fourth Proportional to 76,209.66, 105,168.23 and 42,218.09

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Solution

The fourth proportional to 76,209.66, 105,168.23 and 42,218.09 is: 58,260.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,209.66 : 105,168.23 = 42,218.09 : x
  2. Step 2: Convert to fraction form
    76,209.66/105,168.23 = 42,218.09/x
  3. Step 3: Cross multiply
    76,209.66x = 105,168.23 × 42,218.09
  4. Step 4: Simplify right side
    76,209.66x = 4,440,002,009.43
  5. Step 5: Solve for x
    x = 4,440,002,009.43/76,209.66
  6. Step 6: Final answer
    x = 58,260.35

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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.