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Finding the Fourth Proportional to 101,585.24, 151,760.08 and 65,754.64

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Solution

The fourth proportional to 101,585.24, 151,760.08 and 65,754.64 is: 98,232.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,585.24 : 151,760.08 = 65,754.64 : x
  2. Step 2: Convert to fraction form
    101,585.24/151,760.08 = 65,754.64/x
  3. Step 3: Cross multiply
    101,585.24x = 151,760.08 × 65,754.64
  4. Step 4: Simplify right side
    101,585.24x = 9,978,929,426.77
  5. Step 5: Solve for x
    x = 9,978,929,426.77/101,585.24
  6. Step 6: Final answer
    x = 98,232.08

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.