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Finding the Fourth Proportional to 119,451.16, 164,842.62 and 65,740

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Solution

The fourth proportional to 119,451.16, 164,842.62 and 65,740 is: 90,721.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,451.16 : 164,842.62 = 65,740 : x
  2. Step 2: Convert to fraction form
    119,451.16/164,842.62 = 65,740/x
  3. Step 3: Cross multiply
    119,451.16x = 164,842.62 × 65,740
  4. Step 4: Simplify right side
    119,451.16x = 10,836,753,838.80
  5. Step 5: Solve for x
    x = 10,836,753,838.80/119,451.16
  6. Step 6: Final answer
    x = 90,721.21

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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.