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Finding the Fourth Proportional to 154,869.30, 232,211 and 53,634

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Solution

The fourth proportional to 154,869.30, 232,211 and 53,634 is: 80,418.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,869.30 : 232,211 = 53,634 : x
  2. Step 2: Convert to fraction form
    154,869.30/232,211 = 53,634/x
  3. Step 3: Cross multiply
    154,869.30x = 232,211 × 53,634
  4. Step 4: Simplify right side
    154,869.30x = 12,454,404,774
  5. Step 5: Solve for x
    x = 12,454,404,774/154,869.30
  6. Step 6: Final answer
    x = 80,418.81

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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.