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Finding the Fourth Proportional to 154,760.78, 232,175.28 and 49,590.38

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Solution

The fourth proportional to 154,760.78, 232,175.28 and 49,590.38 is: 74,396.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,760.78 : 232,175.28 = 49,590.38 : x
  2. Step 2: Convert to fraction form
    154,760.78/232,175.28 = 49,590.38/x
  3. Step 3: Cross multiply
    154,760.78x = 232,175.28 × 49,590.38
  4. Step 4: Simplify right side
    154,760.78x = 11,513,660,361.81
  5. Step 5: Solve for x
    x = 11,513,660,361.81/154,760.78
  6. Step 6: Final answer
    x = 74,396.50

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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.