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Finding the Fourth Proportional to 188,202.60, 282,347.18 and 55,079.72

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Solution

The fourth proportional to 188,202.60, 282,347.18 and 55,079.72 is: 82,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,202.60 : 282,347.18 = 55,079.72 : x
  2. Step 2: Convert to fraction form
    188,202.60/282,347.18 = 55,079.72/x
  3. Step 3: Cross multiply
    188,202.60x = 282,347.18 × 55,079.72
  4. Step 4: Simplify right side
    188,202.60x = 15,551,603,617.19
  5. Step 5: Solve for x
    x = 15,551,603,617.19/188,202.60
  6. Step 6: Final answer
    x = 82,632.25

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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.