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Finding the Fourth Proportional to 137,667.90, 206,477.25 and 36,466.68

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Solution

The fourth proportional to 137,667.90, 206,477.25 and 36,466.68 is: 54,693.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,667.90 : 206,477.25 = 36,466.68 : x
  2. Step 2: Convert to fraction form
    137,667.90/206,477.25 = 36,466.68/x
  3. Step 3: Cross multiply
    137,667.90x = 206,477.25 × 36,466.68
  4. Step 4: Simplify right side
    137,667.90x = 7,529,539,803.03
  5. Step 5: Solve for x
    x = 7,529,539,803.03/137,667.90
  6. Step 6: Final answer
    x = 54,693.50

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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.