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Finding the Fourth Proportional to 105,086.67, 145,031.67 and 59,771.40

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Solution

The fourth proportional to 105,086.67, 145,031.67 and 59,771.40 is: 82,491.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,086.67 : 145,031.67 = 59,771.40 : x
  2. Step 2: Convert to fraction form
    105,086.67/145,031.67 = 59,771.40/x
  3. Step 3: Cross multiply
    105,086.67x = 145,031.67 × 59,771.40
  4. Step 4: Simplify right side
    105,086.67x = 8,668,745,960.24
  5. Step 5: Solve for x
    x = 8,668,745,960.24/105,086.67
  6. Step 6: Final answer
    x = 82,491.39

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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.