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Finding the Fourth Proportional to 204,493.76, 306,740.64 and 64,264.64

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Solution

The fourth proportional to 204,493.76, 306,740.64 and 64,264.64 is: 96,396.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,493.76 : 306,740.64 = 64,264.64 : x
  2. Step 2: Convert to fraction form
    204,493.76/306,740.64 = 64,264.64/x
  3. Step 3: Cross multiply
    204,493.76x = 306,740.64 × 64,264.64
  4. Step 4: Simplify right side
    204,493.76x = 19,712,576,802.97
  5. Step 5: Solve for x
    x = 19,712,576,802.97/204,493.76
  6. Step 6: Final answer
    x = 96,396.96

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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.