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Finding the Fourth Proportional to 194,775.71, 292,134.33 and 61,638.71

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Solution

The fourth proportional to 194,775.71, 292,134.33 and 61,638.71 is: 92,448.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,775.71 : 292,134.33 = 61,638.71 : x
  2. Step 2: Convert to fraction form
    194,775.71/292,134.33 = 61,638.71/x
  3. Step 3: Cross multiply
    194,775.71x = 292,134.33 × 61,638.71
  4. Step 4: Simplify right side
    194,775.71x = 18,006,781,787.24
  5. Step 5: Solve for x
    x = 18,006,781,787.24/194,775.71
  6. Step 6: Final answer
    x = 92,448.81

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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.