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Finding the Fourth Proportional to 230,768, 346,152 and 64,556

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Solution

The fourth proportional to 230,768, 346,152 and 64,556 is: 96,834

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,768 : 346,152 = 64,556 : x
  2. Step 2: Convert to fraction form
    230,768/346,152 = 64,556/x
  3. Step 3: Cross multiply
    230,768x = 346,152 × 64,556
  4. Step 4: Simplify right side
    230,768x = 22,346,188,512
  5. Step 5: Solve for x
    x = 22,346,188,512/230,768
  6. Step 6: Final answer
    x = 96,834

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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.