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Finding the Fourth Proportional to 223,829.80, 335,744.70 and 76,085.80

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Solution

The fourth proportional to 223,829.80, 335,744.70 and 76,085.80 is: 114,128.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,829.80 : 335,744.70 = 76,085.80 : x
  2. Step 2: Convert to fraction form
    223,829.80/335,744.70 = 76,085.80/x
  3. Step 3: Cross multiply
    223,829.80x = 335,744.70 × 76,085.80
  4. Step 4: Simplify right side
    223,829.80x = 25,545,404,095.26
  5. Step 5: Solve for x
    x = 25,545,404,095.26/223,829.80
  6. Step 6: Final answer
    x = 114,128.70

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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.