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Finding the Fourth Proportional to 175,584.64, 263,404.32 and 57,228.52

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Solution

The fourth proportional to 175,584.64, 263,404.32 and 57,228.52 is: 85,851.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,584.64 : 263,404.32 = 57,228.52 : x
  2. Step 2: Convert to fraction form
    175,584.64/263,404.32 = 57,228.52/x
  3. Step 3: Cross multiply
    175,584.64x = 263,404.32 × 57,228.52
  4. Step 4: Simplify right side
    175,584.64x = 15,074,239,395.21
  5. Step 5: Solve for x
    x = 15,074,239,395.21/175,584.64
  6. Step 6: Final answer
    x = 85,851.70

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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.