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Finding the Fourth Proportional to 154,993, 232,489.50 and 38,257

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Solution

The fourth proportional to 154,993, 232,489.50 and 38,257 is: 57,385.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,993 : 232,489.50 = 38,257 : x
  2. Step 2: Convert to fraction form
    154,993/232,489.50 = 38,257/x
  3. Step 3: Cross multiply
    154,993x = 232,489.50 × 38,257
  4. Step 4: Simplify right side
    154,993x = 8,894,350,801.50
  5. Step 5: Solve for x
    x = 8,894,350,801.50/154,993
  6. Step 6: Final answer
    x = 57,385.50

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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.