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Finding the Fourth Proportional to 125,752.16, 188,640.54 and 45,811.84

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Solution

The fourth proportional to 125,752.16, 188,640.54 and 45,811.84 is: 68,722.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,752.16 : 188,640.54 = 45,811.84 : x
  2. Step 2: Convert to fraction form
    125,752.16/188,640.54 = 45,811.84/x
  3. Step 3: Cross multiply
    125,752.16x = 188,640.54 × 45,811.84
  4. Step 4: Simplify right side
    125,752.16x = 8,641,970,235.99
  5. Step 5: Solve for x
    x = 8,641,970,235.99/125,752.16
  6. Step 6: Final answer
    x = 68,722.24

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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.