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Finding the Fourth Proportional to 115,824.78, 159,826.68 and 64,834.56

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Solution

The fourth proportional to 115,824.78, 159,826.68 and 64,834.56 is: 89,465.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,824.78 : 159,826.68 = 64,834.56 : x
  2. Step 2: Convert to fraction form
    115,824.78/159,826.68 = 64,834.56/x
  3. Step 3: Cross multiply
    115,824.78x = 159,826.68 × 64,834.56
  4. Step 4: Simplify right side
    115,824.78x = 10,362,292,474.06
  5. Step 5: Solve for x
    x = 10,362,292,474.06/115,824.78
  6. Step 6: Final answer
    x = 89,465.25

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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.