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Finding the Fourth Proportional to 105,149.17, 157,722.87 and 26,262.86

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Solution

The fourth proportional to 105,149.17, 157,722.87 and 26,262.86 is: 39,394.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,149.17 : 157,722.87 = 26,262.86 : x
  2. Step 2: Convert to fraction form
    105,149.17/157,722.87 = 26,262.86/x
  3. Step 3: Cross multiply
    105,149.17x = 157,722.87 × 26,262.86
  4. Step 4: Simplify right side
    105,149.17x = 4,142,253,653.61
  5. Step 5: Solve for x
    x = 4,142,253,653.61/105,149.17
  6. Step 6: Final answer
    x = 39,394.07

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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.