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Finding the Fourth Proportional to 137,153.72, 205,398.36 and 94,915.44

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Solution

The fourth proportional to 137,153.72, 205,398.36 and 94,915.44 is: 142,143.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,153.72 : 205,398.36 = 94,915.44 : x
  2. Step 2: Convert to fraction form
    137,153.72/205,398.36 = 94,915.44/x
  3. Step 3: Cross multiply
    137,153.72x = 205,398.36 × 94,915.44
  4. Step 4: Simplify right side
    137,153.72x = 19,495,475,714.68
  5. Step 5: Solve for x
    x = 19,495,475,714.68/137,153.72
  6. Step 6: Final answer
    x = 142,143.25

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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.