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Finding the Fourth Proportional to 115,527.24, 159,409.62 and 65,225.16

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Solution

The fourth proportional to 115,527.24, 159,409.62 and 65,225.16 is: 90,000.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,527.24 : 159,409.62 = 65,225.16 : x
  2. Step 2: Convert to fraction form
    115,527.24/159,409.62 = 65,225.16/x
  3. Step 3: Cross multiply
    115,527.24x = 159,409.62 × 65,225.16
  4. Step 4: Simplify right side
    115,527.24x = 10,397,517,970.04
  5. Step 5: Solve for x
    x = 10,397,517,970.04/115,527.24
  6. Step 6: Final answer
    x = 90,000.57

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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.