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Finding the Fourth Proportional to 160,727.39, 241,074.17 and 65,967.59

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Solution

The fourth proportional to 160,727.39, 241,074.17 and 65,967.59 is: 98,944.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,727.39 : 241,074.17 = 65,967.59 : x
  2. Step 2: Convert to fraction form
    160,727.39/241,074.17 = 65,967.59/x
  3. Step 3: Cross multiply
    160,727.39x = 241,074.17 × 65,967.59
  4. Step 4: Simplify right side
    160,727.39x = 15,903,082,526.38
  5. Step 5: Solve for x
    x = 15,903,082,526.38/160,727.39
  6. Step 6: Final answer
    x = 98,944.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.