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Finding the Fourth Proportional to 191,578.40, 264,367.76 and 105,534.56

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Solution

The fourth proportional to 191,578.40, 264,367.76 and 105,534.56 is: 145,631.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,578.40 : 264,367.76 = 105,534.56 : x
  2. Step 2: Convert to fraction form
    191,578.40/264,367.76 = 105,534.56/x
  3. Step 3: Cross multiply
    191,578.40x = 264,367.76 × 105,534.56
  4. Step 4: Simplify right side
    191,578.40x = 27,899,935,229.79
  5. Step 5: Solve for x
    x = 27,899,935,229.79/191,578.40
  6. Step 6: Final answer
    x = 145,631.95

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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.