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Finding the Fourth Proportional to 205,031.94, 282,944.50 and 114,385.64

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Solution

The fourth proportional to 205,031.94, 282,944.50 and 114,385.64 is: 157,852.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,031.94 : 282,944.50 = 114,385.64 : x
  2. Step 2: Convert to fraction form
    205,031.94/282,944.50 = 114,385.64/x
  3. Step 3: Cross multiply
    205,031.94x = 282,944.50 × 114,385.64
  4. Step 4: Simplify right side
    205,031.94x = 32,364,787,716.98
  5. Step 5: Solve for x
    x = 32,364,787,716.98/205,031.94
  6. Step 6: Final answer
    x = 157,852.42

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