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Finding the Fourth Proportional to 205,357.45, 283,392.08 and 114,713.14

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Solution

The fourth proportional to 205,357.45, 283,392.08 and 114,713.14 is: 158,303.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,357.45 : 283,392.08 = 114,713.14 : x
  2. Step 2: Convert to fraction form
    205,357.45/283,392.08 = 114,713.14/x
  3. Step 3: Cross multiply
    205,357.45x = 283,392.08 × 114,713.14
  4. Step 4: Simplify right side
    205,357.45x = 32,508,795,347.93
  5. Step 5: Solve for x
    x = 32,508,795,347.93/205,357.45
  6. Step 6: Final answer
    x = 158,303.46

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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.