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Finding the Fourth Proportional to 137,204.64, 205,804.44 and 37,363.32

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Solution

The fourth proportional to 137,204.64, 205,804.44 and 37,363.32 is: 56,044.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,204.64 : 205,804.44 = 37,363.32 : x
  2. Step 2: Convert to fraction form
    137,204.64/205,804.44 = 37,363.32/x
  3. Step 3: Cross multiply
    137,204.64x = 205,804.44 × 37,363.32
  4. Step 4: Simplify right side
    137,204.64x = 7,689,537,149.14
  5. Step 5: Solve for x
    x = 7,689,537,149.14/137,204.64
  6. Step 6: Final answer
    x = 56,044.29

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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.