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Finding the Fourth Proportional to 115,528.24, 159,411 and 65,226.16

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Solution

The fourth proportional to 115,528.24, 159,411 and 65,226.16 is: 90,001.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,528.24 : 159,411 = 65,226.16 : x
  2. Step 2: Convert to fraction form
    115,528.24/159,411 = 65,226.16/x
  3. Step 3: Cross multiply
    115,528.24x = 159,411 × 65,226.16
  4. Step 4: Simplify right side
    115,528.24x = 10,397,767,391.76
  5. Step 5: Solve for x
    x = 10,397,767,391.76/115,528.24
  6. Step 6: Final answer
    x = 90,001.95

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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.