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Finding the Fourth Proportional to 102,523.74, 153,834.75 and 55,776.54

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Solution

The fourth proportional to 102,523.74, 153,834.75 and 55,776.54 is: 83,691.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,523.74 : 153,834.75 = 55,776.54 : x
  2. Step 2: Convert to fraction form
    102,523.74/153,834.75 = 55,776.54/x
  3. Step 3: Cross multiply
    102,523.74x = 153,834.75 × 55,776.54
  4. Step 4: Simplify right side
    102,523.74x = 8,580,370,086.77
  5. Step 5: Solve for x
    x = 8,580,370,086.77/102,523.74
  6. Step 6: Final answer
    x = 83,691.54

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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.