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Finding the Fourth Proportional to 205,560.46, 283,675.54 and 114,921.46

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Solution

The fourth proportional to 205,560.46, 283,675.54 and 114,921.46 is: 158,592.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,560.46 : 283,675.54 = 114,921.46 : x
  2. Step 2: Convert to fraction form
    205,560.46/283,675.54 = 114,921.46/x
  3. Step 3: Cross multiply
    205,560.46x = 283,675.54 × 114,921.46
  4. Step 4: Simplify right side
    205,560.46x = 32,600,405,804.71
  5. Step 5: Solve for x
    x = 32,600,405,804.71/205,560.46
  6. Step 6: Final answer
    x = 158,592.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.