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Finding the Fourth Proportional to 115,823.54, 159,837.10 and 65,521.46

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Solution

The fourth proportional to 115,823.54, 159,837.10 and 65,521.46 is: 90,419.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,823.54 : 159,837.10 = 65,521.46 : x
  2. Step 2: Convert to fraction form
    115,823.54/159,837.10 = 65,521.46/x
  3. Step 3: Cross multiply
    115,823.54x = 159,837.10 × 65,521.46
  4. Step 4: Simplify right side
    115,823.54x = 10,472,760,154.17
  5. Step 5: Solve for x
    x = 10,472,760,154.17/115,823.54
  6. Step 6: Final answer
    x = 90,419.96

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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.