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Finding the Fourth Proportional to 105,056, 144,989.42 and 58,493.55

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Solution

The fourth proportional to 105,056, 144,989.42 and 58,493.55 is: 80,727.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,056 : 144,989.42 = 58,493.55 : x
  2. Step 2: Convert to fraction form
    105,056/144,989.42 = 58,493.55/x
  3. Step 3: Cross multiply
    105,056x = 144,989.42 × 58,493.55
  4. Step 4: Simplify right side
    105,056x = 8,480,945,888.24
  5. Step 5: Solve for x
    x = 8,480,945,888.24/105,056
  6. Step 6: Final answer
    x = 80,727.86

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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.