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Finding the Fourth Proportional to 375,120, 562,650.56 and 164,759.68

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Solution

The fourth proportional to 375,120, 562,650.56 and 164,759.68 is: 247,126.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,120 : 562,650.56 = 164,759.68 : x
  2. Step 2: Convert to fraction form
    375,120/562,650.56 = 164,759.68/x
  3. Step 3: Cross multiply
    375,120x = 562,650.56 × 164,759.68
  4. Step 4: Simplify right side
    375,120x = 92,702,126,217.42
  5. Step 5: Solve for x
    x = 92,702,126,217.42/375,120
  6. Step 6: Final answer
    x = 247,126.59

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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.