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Finding the Fourth Proportional to 188,814, 283,332.18 and 83,633.88

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Solution

The fourth proportional to 188,814, 283,332.18 and 83,633.88 is: 125,500.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,814 : 283,332.18 = 83,633.88 : x
  2. Step 2: Convert to fraction form
    188,814/283,332.18 = 83,633.88/x
  3. Step 3: Cross multiply
    188,814x = 283,332.18 × 83,633.88
  4. Step 4: Simplify right side
    188,814x = 23,696,169,542.26
  5. Step 5: Solve for x
    x = 23,696,169,542.26/188,814
  6. Step 6: Final answer
    x = 125,500.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.