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Finding the Fourth Proportional to 191,614.61, 264,436.31 and 106,731.71

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Solution

The fourth proportional to 191,614.61, 264,436.31 and 106,731.71 is: 147,294.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,614.61 : 264,436.31 = 106,731.71 : x
  2. Step 2: Convert to fraction form
    191,614.61/264,436.31 = 106,731.71/x
  3. Step 3: Cross multiply
    191,614.61x = 264,436.31 × 106,731.71
  4. Step 4: Simplify right side
    191,614.61x = 28,223,738,497.04
  5. Step 5: Solve for x
    x = 28,223,738,497.04/191,614.61
  6. Step 6: Final answer
    x = 147,294.30

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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.