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Finding the Fourth Proportional to 188,867.65, 283,235.46 and 55,712.56

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Solution

The fourth proportional to 188,867.65, 283,235.46 and 55,712.56 is: 83,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,867.65 : 283,235.46 = 55,712.56 : x
  2. Step 2: Convert to fraction form
    188,867.65/283,235.46 = 55,712.56/x
  3. Step 3: Cross multiply
    188,867.65x = 283,235.46 × 55,712.56
  4. Step 4: Simplify right side
    188,867.65x = 15,779,772,559.38
  5. Step 5: Solve for x
    x = 15,779,772,559.38/188,867.65
  6. Step 6: Final answer
    x = 83,549.37

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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.