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Finding the Fourth Proportional to 281,188.67, 387,636.64 and 200,476.01

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Solution

The fourth proportional to 281,188.67, 387,636.64 and 200,476.01 is: 276,369.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,188.67 : 387,636.64 = 200,476.01 : x
  2. Step 2: Convert to fraction form
    281,188.67/387,636.64 = 200,476.01/x
  3. Step 3: Cross multiply
    281,188.67x = 387,636.64 × 200,476.01
  4. Step 4: Simplify right side
    281,188.67x = 77,711,847,384.91
  5. Step 5: Solve for x
    x = 77,711,847,384.91/281,188.67
  6. Step 6: Final answer
    x = 276,369.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.