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Finding the Fourth Proportional to 188,323.35, 282,487.40 and 55,206.28

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Solution

The fourth proportional to 188,323.35, 282,487.40 and 55,206.28 is: 82,810.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,323.35 : 282,487.40 = 55,206.28 : x
  2. Step 2: Convert to fraction form
    188,323.35/282,487.40 = 55,206.28/x
  3. Step 3: Cross multiply
    188,323.35x = 282,487.40 × 55,206.28
  4. Step 4: Simplify right side
    188,323.35x = 15,595,079,579.47
  5. Step 5: Solve for x
    x = 15,595,079,579.47/188,323.35
  6. Step 6: Final answer
    x = 82,810.12

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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.