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Finding the Fourth Proportional to 255,137.64, 382,648.02 and 75,176.52

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Solution

The fourth proportional to 255,137.64, 382,648.02 and 75,176.52 is: 112,747.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,137.64 : 382,648.02 = 75,176.52 : x
  2. Step 2: Convert to fraction form
    255,137.64/382,648.02 = 75,176.52/x
  3. Step 3: Cross multiply
    255,137.64x = 382,648.02 × 75,176.52
  4. Step 4: Simplify right side
    255,137.64x = 28,766,146,528.49
  5. Step 5: Solve for x
    x = 28,766,146,528.49/255,137.64
  6. Step 6: Final answer
    x = 112,747.56

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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.