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Finding the Fourth Proportional to 194,364.72, 268,064.73 and 163,199.66

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Solution

The fourth proportional to 194,364.72, 268,064.73 and 163,199.66 is: 225,082.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,364.72 : 268,064.73 = 163,199.66 : x
  2. Step 2: Convert to fraction form
    194,364.72/268,064.73 = 163,199.66/x
  3. Step 3: Cross multiply
    194,364.72x = 268,064.73 × 163,199.66
  4. Step 4: Simplify right side
    194,364.72x = 43,748,071,453.67
  5. Step 5: Solve for x
    x = 43,748,071,453.67/194,364.72
  6. Step 6: Final answer
    x = 225,082.37

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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.