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Finding the Fourth Proportional to 137,187.37, 205,784.70 and 37,349.60

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Solution

The fourth proportional to 137,187.37, 205,784.70 and 37,349.60 is: 56,025.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,187.37 : 205,784.70 = 37,349.60 : x
  2. Step 2: Convert to fraction form
    137,187.37/205,784.70 = 37,349.60/x
  3. Step 3: Cross multiply
    137,187.37x = 205,784.70 × 37,349.60
  4. Step 4: Simplify right side
    137,187.37x = 7,685,976,652.21
  5. Step 5: Solve for x
    x = 7,685,976,652.21/137,187.37
  6. Step 6: Final answer
    x = 56,025.40

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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.