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Finding the Fourth Proportional to 204,827.94, 307,241.91 and 64,597.50

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Solution

The fourth proportional to 204,827.94, 307,241.91 and 64,597.50 is: 96,896.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,827.94 : 307,241.91 = 64,597.50 : x
  2. Step 2: Convert to fraction form
    204,827.94/307,241.91 = 64,597.50/x
  3. Step 3: Cross multiply
    204,827.94x = 307,241.91 × 64,597.50
  4. Step 4: Simplify right side
    204,827.94x = 19,847,059,281.23
  5. Step 5: Solve for x
    x = 19,847,059,281.23/204,827.94
  6. Step 6: Final answer
    x = 96,896.25

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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.