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Finding the Fourth Proportional to 100,182.76, 150,329.48 and 55,834.51

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Solution

The fourth proportional to 100,182.76, 150,329.48 and 55,834.51 is: 83,782.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,182.76 : 150,329.48 = 55,834.51 : x
  2. Step 2: Convert to fraction form
    100,182.76/150,329.48 = 55,834.51/x
  3. Step 3: Cross multiply
    100,182.76x = 150,329.48 × 55,834.51
  4. Step 4: Simplify right side
    100,182.76x = 8,393,572,854.35
  5. Step 5: Solve for x
    x = 8,393,572,854.35/100,182.76
  6. Step 6: Final answer
    x = 83,782.61

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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.