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Finding the Fourth Proportional to 103,195.92, 142,415.64 and 57,883.44

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Solution

The fourth proportional to 103,195.92, 142,415.64 and 57,883.44 is: 79,882.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,195.92 : 142,415.64 = 57,883.44 : x
  2. Step 2: Convert to fraction form
    103,195.92/142,415.64 = 57,883.44/x
  3. Step 3: Cross multiply
    103,195.92x = 142,415.64 × 57,883.44
  4. Step 4: Simplify right side
    103,195.92x = 8,243,507,153.00
  5. Step 5: Solve for x
    x = 8,243,507,153.00/103,195.92
  6. Step 6: Final answer
    x = 79,882.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.