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Finding the Fourth Proportional to 188,798.12, 283,151.82 and 55,642.40

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Solution

The fourth proportional to 188,798.12, 283,151.82 and 55,642.40 is: 83,450.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,798.12 : 283,151.82 = 55,642.40 : x
  2. Step 2: Convert to fraction form
    188,798.12/283,151.82 = 55,642.40/x
  3. Step 3: Cross multiply
    188,798.12x = 283,151.82 × 55,642.40
  4. Step 4: Simplify right side
    188,798.12x = 15,755,246,829.17
  5. Step 5: Solve for x
    x = 15,755,246,829.17/188,798.12
  6. Step 6: Final answer
    x = 83,450.23

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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.