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Finding the Fourth Proportional to 105,215.00, 145,195.83 and 57,468.38

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Solution

The fourth proportional to 105,215.00, 145,195.83 and 57,468.38 is: 79,305.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,215.00 : 145,195.83 = 57,468.38 : x
  2. Step 2: Convert to fraction form
    105,215.00/145,195.83 = 57,468.38/x
  3. Step 3: Cross multiply
    105,215.00x = 145,195.83 × 57,468.38
  4. Step 4: Simplify right side
    105,215.00x = 8,344,168,406.88
  5. Step 5: Solve for x
    x = 8,344,168,406.88/105,215.00
  6. Step 6: Final answer
    x = 79,305.89

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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.