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Finding the Fourth Proportional to 105,099.30, 145,031.22 and 59,771.16

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Solution

The fourth proportional to 105,099.30, 145,031.22 and 59,771.16 is: 82,480.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,099.30 : 145,031.22 = 59,771.16 : x
  2. Step 2: Convert to fraction form
    105,099.30/145,031.22 = 59,771.16/x
  3. Step 3: Cross multiply
    105,099.30x = 145,031.22 × 59,771.16
  4. Step 4: Simplify right side
    105,099.30x = 8,668,684,255.62
  5. Step 5: Solve for x
    x = 8,668,684,255.62/105,099.30
  6. Step 6: Final answer
    x = 82,480.89

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