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Finding the Fourth Proportional to 107,694.93, 148,664.96 and 76,670.18

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Solution

The fourth proportional to 107,694.93, 148,664.96 and 76,670.18 is: 105,837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,694.93 : 148,664.96 = 76,670.18 : x
  2. Step 2: Convert to fraction form
    107,694.93/148,664.96 = 76,670.18/x
  3. Step 3: Cross multiply
    107,694.93x = 148,664.96 × 76,670.18
  4. Step 4: Simplify right side
    107,694.93x = 11,398,168,116.22
  5. Step 5: Solve for x
    x = 11,398,168,116.22/107,694.93
  6. Step 6: Final answer
    x = 105,837.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.