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Finding the Fourth Proportional to 255,818.94, 383,564.34 and 106,162.53

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Solution

The fourth proportional to 255,818.94, 383,564.34 and 106,162.53 is: 159,175.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,818.94 : 383,564.34 = 106,162.53 : x
  2. Step 2: Convert to fraction form
    255,818.94/383,564.34 = 106,162.53/x
  3. Step 3: Cross multiply
    255,818.94x = 383,564.34 × 106,162.53
  4. Step 4: Simplify right side
    255,818.94x = 40,720,160,752.18
  5. Step 5: Solve for x
    x = 40,720,160,752.18/255,818.94
  6. Step 6: Final answer
    x = 159,175.71

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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.