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Finding the Fourth Proportional to 115,833.64, 159,864.42 and 65,522.92

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Solution

The fourth proportional to 115,833.64, 159,864.42 and 65,522.92 is: 90,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,833.64 : 159,864.42 = 65,522.92 : x
  2. Step 2: Convert to fraction form
    115,833.64/159,864.42 = 65,522.92/x
  3. Step 3: Cross multiply
    115,833.64x = 159,864.42 × 65,522.92
  4. Step 4: Simplify right side
    115,833.64x = 10,474,783,602.51
  5. Step 5: Solve for x
    x = 10,474,783,602.51/115,833.64
  6. Step 6: Final answer
    x = 90,429.55

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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.