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Finding the Fourth Proportional to 137,346.53, 206,051.75 and 42,571.69

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Solution

The fourth proportional to 137,346.53, 206,051.75 and 42,571.69 is: 63,867.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,346.53 : 206,051.75 = 42,571.69 : x
  2. Step 2: Convert to fraction form
    137,346.53/206,051.75 = 42,571.69/x
  3. Step 3: Cross multiply
    137,346.53x = 206,051.75 × 42,571.69
  4. Step 4: Simplify right side
    137,346.53x = 8,771,969,981.84
  5. Step 5: Solve for x
    x = 8,771,969,981.84/137,346.53
  6. Step 6: Final answer
    x = 63,867.43

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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.