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Finding the Fourth Proportional to 205,378.71, 283,419.50 and 114,735.98

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Solution

The fourth proportional to 205,378.71, 283,419.50 and 114,735.98 is: 158,333.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,378.71 : 283,419.50 = 114,735.98 : x
  2. Step 2: Convert to fraction form
    205,378.71/283,419.50 = 114,735.98/x
  3. Step 3: Cross multiply
    205,378.71x = 283,419.50 × 114,735.98
  4. Step 4: Simplify right side
    205,378.71x = 32,518,412,092.83
  5. Step 5: Solve for x
    x = 32,518,412,092.83/205,378.71
  6. Step 6: Final answer
    x = 158,333.90

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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.