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Finding the Fourth Proportional to 188,827.70, 283,241.56 and 70,508.28

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Solution

The fourth proportional to 188,827.70, 283,241.56 and 70,508.28 is: 105,762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,827.70 : 283,241.56 = 70,508.28 : x
  2. Step 2: Convert to fraction form
    188,827.70/283,241.56 = 70,508.28/x
  3. Step 3: Cross multiply
    188,827.70x = 283,241.56 × 70,508.28
  4. Step 4: Simplify right side
    188,827.70x = 19,970,875,220.12
  5. Step 5: Solve for x
    x = 19,970,875,220.12/188,827.70
  6. Step 6: Final answer
    x = 105,762.42

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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.