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Finding the Fourth Proportional to 205,094.91, 283,030.44 and 114,449.91

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Solution

The fourth proportional to 205,094.91, 283,030.44 and 114,449.91 is: 157,940.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,094.91 : 283,030.44 = 114,449.91 : x
  2. Step 2: Convert to fraction form
    205,094.91/283,030.44 = 114,449.91/x
  3. Step 3: Cross multiply
    205,094.91x = 283,030.44 × 114,449.91
  4. Step 4: Simplify right side
    205,094.91x = 32,392,808,385.26
  5. Step 5: Solve for x
    x = 32,392,808,385.26/205,094.91
  6. Step 6: Final answer
    x = 157,940.58

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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.