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Finding the Fourth Proportional to 223,782.98, 335,674.46 and 83,552.54

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Solution

The fourth proportional to 223,782.98, 335,674.46 and 83,552.54 is: 125,328.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,782.98 : 335,674.46 = 83,552.54 : x
  2. Step 2: Convert to fraction form
    223,782.98/335,674.46 = 83,552.54/x
  3. Step 3: Cross multiply
    223,782.98x = 335,674.46 × 83,552.54
  4. Step 4: Simplify right side
    223,782.98x = 28,046,453,746.13
  5. Step 5: Solve for x
    x = 28,046,453,746.13/223,782.98
  6. Step 6: Final answer
    x = 125,328.81

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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.