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Finding the Fourth Proportional to 115,276.50, 159,084 and 64,975.50

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Solution

The fourth proportional to 115,276.50, 159,084 and 64,975.50 is: 89,667.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,276.50 : 159,084 = 64,975.50 : x
  2. Step 2: Convert to fraction form
    115,276.50/159,084 = 64,975.50/x
  3. Step 3: Cross multiply
    115,276.50x = 159,084 × 64,975.50
  4. Step 4: Simplify right side
    115,276.50x = 10,336,562,442
  5. Step 5: Solve for x
    x = 10,336,562,442/115,276.50
  6. Step 6: Final answer
    x = 89,667.56

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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.