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Finding the Fourth Proportional to 137,697.30, 206,533.80 and 37,848.60

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Solution

The fourth proportional to 137,697.30, 206,533.80 and 37,848.60 is: 56,769.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,697.30 : 206,533.80 = 37,848.60 : x
  2. Step 2: Convert to fraction form
    137,697.30/206,533.80 = 37,848.60/x
  3. Step 3: Cross multiply
    137,697.30x = 206,533.80 × 37,848.60
  4. Step 4: Simplify right side
    137,697.30x = 7,817,015,182.68
  5. Step 5: Solve for x
    x = 7,817,015,182.68/137,697.30
  6. Step 6: Final answer
    x = 56,769.56

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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.