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Finding the Fourth Proportional to 204,502.42, 306,784.59 and 64,247.86

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Solution

The fourth proportional to 204,502.42, 306,784.59 and 64,247.86 is: 96,381.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,502.42 : 306,784.59 = 64,247.86 : x
  2. Step 2: Convert to fraction form
    204,502.42/306,784.59 = 64,247.86/x
  3. Step 3: Cross multiply
    204,502.42x = 306,784.59 × 64,247.86
  4. Step 4: Simplify right side
    204,502.42x = 19,710,253,388.48
  5. Step 5: Solve for x
    x = 19,710,253,388.48/204,502.42
  6. Step 6: Final answer
    x = 96,381.52

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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.