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Finding the Fourth Proportional to 105,444, 158,122.08 and 38,887.92

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Solution

The fourth proportional to 105,444, 158,122.08 and 38,887.92 is: 58,315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,444 : 158,122.08 = 38,887.92 : x
  2. Step 2: Convert to fraction form
    105,444/158,122.08 = 38,887.92/x
  3. Step 3: Cross multiply
    105,444x = 158,122.08 × 38,887.92
  4. Step 4: Simplify right side
    105,444x = 6,149,038,797.27
  5. Step 5: Solve for x
    x = 6,149,038,797.27/105,444
  6. Step 6: Final answer
    x = 58,315.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.