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Finding the Fourth Proportional to 223,977.50, 335,972.74 and 57,765.50

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Solution

The fourth proportional to 223,977.50, 335,972.74 and 57,765.50 is: 86,649.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,977.50 : 335,972.74 = 57,765.50 : x
  2. Step 2: Convert to fraction form
    223,977.50/335,972.74 = 57,765.50/x
  3. Step 3: Cross multiply
    223,977.50x = 335,972.74 × 57,765.50
  4. Step 4: Simplify right side
    223,977.50x = 19,407,633,312.47
  5. Step 5: Solve for x
    x = 19,407,633,312.47/223,977.50
  6. Step 6: Final answer
    x = 86,649.92

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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.