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Finding the Fourth Proportional to 115,934.58, 159,989.49 and 65,638.26

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Solution

The fourth proportional to 115,934.58, 159,989.49 and 65,638.26 is: 90,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,934.58 : 159,989.49 = 65,638.26 : x
  2. Step 2: Convert to fraction form
    115,934.58/159,989.49 = 65,638.26/x
  3. Step 3: Cross multiply
    115,934.58x = 159,989.49 × 65,638.26
  4. Step 4: Simplify right side
    115,934.58x = 10,501,431,741.89
  5. Step 5: Solve for x
    x = 10,501,431,741.89/115,934.58
  6. Step 6: Final answer
    x = 90,580.67

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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.