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Finding the Fourth Proportional to 105,217, 145,198.59 and 57,470.38

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Solution

The fourth proportional to 105,217, 145,198.59 and 57,470.38 is: 79,308.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,217 : 145,198.59 = 57,470.38 : x
  2. Step 2: Convert to fraction form
    105,217/145,198.59 = 57,470.38/x
  3. Step 3: Cross multiply
    105,217x = 145,198.59 × 57,470.38
  4. Step 4: Simplify right side
    105,217x = 8,344,618,142.76
  5. Step 5: Solve for x
    x = 8,344,618,142.76/105,217
  6. Step 6: Final answer
    x = 79,308.65

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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.