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Finding the Fourth Proportional to 105,163.91, 145,129.40 and 59,848.41

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Solution

The fourth proportional to 105,163.91, 145,129.40 and 59,848.41 is: 82,592.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,163.91 : 145,129.40 = 59,848.41 : x
  2. Step 2: Convert to fraction form
    105,163.91/145,129.40 = 59,848.41/x
  3. Step 3: Cross multiply
    105,163.91x = 145,129.40 × 59,848.41
  4. Step 4: Simplify right side
    105,163.91x = 8,685,763,834.25
  5. Step 5: Solve for x
    x = 8,685,763,834.25/105,163.91
  6. Step 6: Final answer
    x = 82,592.63

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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.