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Finding the Fourth Proportional to 254,611.83, 381,915.32 and 154,799.58

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Solution

The fourth proportional to 254,611.83, 381,915.32 and 154,799.58 is: 232,197.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,611.83 : 381,915.32 = 154,799.58 : x
  2. Step 2: Convert to fraction form
    254,611.83/381,915.32 = 154,799.58/x
  3. Step 3: Cross multiply
    254,611.83x = 381,915.32 × 154,799.58
  4. Step 4: Simplify right side
    254,611.83x = 59,120,331,699.35
  5. Step 5: Solve for x
    x = 59,120,331,699.35/254,611.83
  6. Step 6: Final answer
    x = 232,197.90

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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.