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Finding the Fourth Proportional to 115,322.68, 159,145.32 and 65,021.68

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Solution

The fourth proportional to 115,322.68, 159,145.32 and 65,021.68 is: 89,729.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,322.68 : 159,145.32 = 65,021.68 : x
  2. Step 2: Convert to fraction form
    115,322.68/159,145.32 = 65,021.68/x
  3. Step 3: Cross multiply
    115,322.68x = 159,145.32 × 65,021.68
  4. Step 4: Simplify right side
    115,322.68x = 10,347,896,070.54
  5. Step 5: Solve for x
    x = 10,347,896,070.54/115,322.68
  6. Step 6: Final answer
    x = 89,729.93

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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.