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Finding the Fourth Proportional to 281,094.14, 387,336.03 and 200,350.10

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Solution

The fourth proportional to 281,094.14, 387,336.03 and 200,350.10 is: 276,074.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,094.14 : 387,336.03 = 200,350.10 : x
  2. Step 2: Convert to fraction form
    281,094.14/387,336.03 = 200,350.10/x
  3. Step 3: Cross multiply
    281,094.14x = 387,336.03 × 200,350.10
  4. Step 4: Simplify right side
    281,094.14x = 77,602,810,407.42
  5. Step 5: Solve for x
    x = 77,602,810,407.42/281,094.14
  6. Step 6: Final answer
    x = 276,074.10

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