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Finding the Fourth Proportional to 205,612.49, 308,422.96 and 63,457.86

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Solution

The fourth proportional to 205,612.49, 308,422.96 and 63,457.86 is: 95,188.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,612.49 : 308,422.96 = 63,457.86 : x
  2. Step 2: Convert to fraction form
    205,612.49/308,422.96 = 63,457.86/x
  3. Step 3: Cross multiply
    205,612.49x = 308,422.96 × 63,457.86
  4. Step 4: Simplify right side
    205,612.49x = 19,571,859,345.16
  5. Step 5: Solve for x
    x = 19,571,859,345.16/205,612.49
  6. Step 6: Final answer
    x = 95,188.09

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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.