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Finding the Fourth Proportional to 188,820.46, 283,133.17 and 55,683.79

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Solution

The fourth proportional to 188,820.46, 283,133.17 and 55,683.79 is: 83,496.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,820.46 : 283,133.17 = 55,683.79 : x
  2. Step 2: Convert to fraction form
    188,820.46/283,133.17 = 55,683.79/x
  3. Step 3: Cross multiply
    188,820.46x = 283,133.17 × 55,683.79
  4. Step 4: Simplify right side
    188,820.46x = 15,765,927,980.31
  5. Step 5: Solve for x
    x = 15,765,927,980.31/188,820.46
  6. Step 6: Final answer
    x = 83,496.93

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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.