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Finding the Fourth Proportional to 255,481.02, 383,221.53 and 97,757.82

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Solution

The fourth proportional to 255,481.02, 383,221.53 and 97,757.82 is: 146,636.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,481.02 : 383,221.53 = 97,757.82 : x
  2. Step 2: Convert to fraction form
    255,481.02/383,221.53 = 97,757.82/x
  3. Step 3: Cross multiply
    255,481.02x = 383,221.53 × 97,757.82
  4. Step 4: Simplify right side
    255,481.02x = 37,462,901,349.86
  5. Step 5: Solve for x
    x = 37,462,901,349.86/255,481.02
  6. Step 6: Final answer
    x = 146,636.73

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1.5x scale

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.