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Finding the Fourth Proportional to 154,997.88, 232,495.56 and 102,641.64

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Solution

The fourth proportional to 154,997.88, 232,495.56 and 102,641.64 is: 153,961.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,997.88 : 232,495.56 = 102,641.64 : x
  2. Step 2: Convert to fraction form
    154,997.88/232,495.56 = 102,641.64/x
  3. Step 3: Cross multiply
    154,997.88x = 232,495.56 × 102,641.64
  4. Step 4: Simplify right side
    154,997.88x = 23,863,725,571.12
  5. Step 5: Solve for x
    x = 23,863,725,571.12/154,997.88
  6. Step 6: Final answer
    x = 153,961.63

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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.