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Finding the Fourth Proportional to 137,334.84, 205,950.42 and 63,411

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Solution

The fourth proportional to 137,334.84, 205,950.42 and 63,411 is: 95,092.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,334.84 : 205,950.42 = 63,411 : x
  2. Step 2: Convert to fraction form
    137,334.84/205,950.42 = 63,411/x
  3. Step 3: Cross multiply
    137,334.84x = 205,950.42 × 63,411
  4. Step 4: Simplify right side
    137,334.84x = 13,059,522,082.62
  5. Step 5: Solve for x
    x = 13,059,522,082.62/137,334.84
  6. Step 6: Final answer
    x = 95,092.56

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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.