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Finding the Fourth Proportional to 133,714.08, 184,524 and 73,288.08

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Solution

The fourth proportional to 133,714.08, 184,524 and 73,288.08 is: 101,136.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,714.08 : 184,524 = 73,288.08 : x
  2. Step 2: Convert to fraction form
    133,714.08/184,524 = 73,288.08/x
  3. Step 3: Cross multiply
    133,714.08x = 184,524 × 73,288.08
  4. Step 4: Simplify right side
    133,714.08x = 13,523,409,673.92
  5. Step 5: Solve for x
    x = 13,523,409,673.92/133,714.08
  6. Step 6: Final answer
    x = 101,136.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.