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Finding the Fourth Proportional to 137,720.96, 206,582.35 and 37,891.70

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Solution

The fourth proportional to 137,720.96, 206,582.35 and 37,891.70 is: 56,837.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,720.96 : 206,582.35 = 37,891.70 : x
  2. Step 2: Convert to fraction form
    137,720.96/206,582.35 = 37,891.70/x
  3. Step 3: Cross multiply
    137,720.96x = 206,582.35 × 37,891.70
  4. Step 4: Simplify right side
    137,720.96x = 7,827,756,431.50
  5. Step 5: Solve for x
    x = 7,827,756,431.50/137,720.96
  6. Step 6: Final answer
    x = 56,837.80

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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.