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Finding the Fourth Proportional to 188,561.58, 282,842.24 and 55,442.94

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Solution

The fourth proportional to 188,561.58, 282,842.24 and 55,442.94 is: 83,164.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,561.58 : 282,842.24 = 55,442.94 : x
  2. Step 2: Convert to fraction form
    188,561.58/282,842.24 = 55,442.94/x
  3. Step 3: Cross multiply
    188,561.58x = 282,842.24 × 55,442.94
  4. Step 4: Simplify right side
    188,561.58x = 15,681,605,341.79
  5. Step 5: Solve for x
    x = 15,681,605,341.79/188,561.58
  6. Step 6: Final answer
    x = 83,164.37

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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.