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Finding the Fourth Proportional to 204,489.72, 306,783.72 and 64,248.24

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Solution

The fourth proportional to 204,489.72, 306,783.72 and 64,248.24 is: 96,387.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,489.72 : 306,783.72 = 64,248.24 : x
  2. Step 2: Convert to fraction form
    204,489.72/306,783.72 = 64,248.24/x
  3. Step 3: Cross multiply
    204,489.72x = 306,783.72 × 64,248.24
  4. Step 4: Simplify right side
    204,489.72x = 19,710,314,070.65
  5. Step 5: Solve for x
    x = 19,710,314,070.65/204,489.72
  6. Step 6: Final answer
    x = 96,387.80

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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.