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Finding the Fourth Proportional to 194,615.78, 268,331.18 and 160,039.71

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Solution

The fourth proportional to 194,615.78, 268,331.18 and 160,039.71 is: 220,658.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,615.78 : 268,331.18 = 160,039.71 : x
  2. Step 2: Convert to fraction form
    194,615.78/268,331.18 = 160,039.71/x
  3. Step 3: Cross multiply
    194,615.78x = 268,331.18 × 160,039.71
  4. Step 4: Simplify right side
    194,615.78x = 42,943,643,430.96
  5. Step 5: Solve for x
    x = 42,943,643,430.96/194,615.78
  6. Step 6: Final answer
    x = 220,658.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.