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Finding the Fourth Proportional to 125,491.86, 188,224 and 36,746.22

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Solution

The fourth proportional to 125,491.86, 188,224 and 36,746.22 is: 55,115.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,491.86 : 188,224 = 36,746.22 : x
  2. Step 2: Convert to fraction form
    125,491.86/188,224 = 36,746.22/x
  3. Step 3: Cross multiply
    125,491.86x = 188,224 × 36,746.22
  4. Step 4: Simplify right side
    125,491.86x = 6,916,520,513.28
  5. Step 5: Solve for x
    x = 6,916,520,513.28/125,491.86
  6. Step 6: Final answer
    x = 55,115.29

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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.