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Finding the Fourth Proportional to 137,893.62, 206,649.06 and 62,830.32

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Solution

The fourth proportional to 137,893.62, 206,649.06 and 62,830.32 is: 94,158.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,893.62 : 206,649.06 = 62,830.32 : x
  2. Step 2: Convert to fraction form
    137,893.62/206,649.06 = 62,830.32/x
  3. Step 3: Cross multiply
    137,893.62x = 206,649.06 × 62,830.32
  4. Step 4: Simplify right side
    137,893.62x = 12,983,825,534.25
  5. Step 5: Solve for x
    x = 12,983,825,534.25/137,893.62
  6. Step 6: Final answer
    x = 94,158.28

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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.