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Finding the Fourth Proportional to 105,757.84, 145,971.21 and 71,822.89

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Solution

The fourth proportional to 105,757.84, 145,971.21 and 71,822.89 is: 99,132.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,757.84 : 145,971.21 = 71,822.89 : x
  2. Step 2: Convert to fraction form
    105,757.84/145,971.21 = 71,822.89/x
  3. Step 3: Cross multiply
    105,757.84x = 145,971.21 × 71,822.89
  4. Step 4: Simplify right side
    105,757.84x = 10,484,074,159.00
  5. Step 5: Solve for x
    x = 10,484,074,159.00/105,757.84
  6. Step 6: Final answer
    x = 99,132.83

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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.