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Finding the Fourth Proportional to 215,055.81, 322,591.41 and 57,284.82

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Solution

The fourth proportional to 215,055.81, 322,591.41 and 57,284.82 is: 85,929.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,055.81 : 322,591.41 = 57,284.82 : x
  2. Step 2: Convert to fraction form
    215,055.81/322,591.41 = 57,284.82/x
  3. Step 3: Cross multiply
    215,055.81x = 322,591.41 × 57,284.82
  4. Step 4: Simplify right side
    215,055.81x = 18,479,590,855.40
  5. Step 5: Solve for x
    x = 18,479,590,855.40/215,055.81
  6. Step 6: Final answer
    x = 85,929.28

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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.