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Finding the Fourth Proportional to 283,144.85, 390,741.18 and 162,293.20

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Solution

The fourth proportional to 283,144.85, 390,741.18 and 162,293.20 is: 223,965.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,144.85 : 390,741.18 = 162,293.20 : x
  2. Step 2: Convert to fraction form
    283,144.85/390,741.18 = 162,293.20/x
  3. Step 3: Cross multiply
    283,144.85x = 390,741.18 × 162,293.20
  4. Step 4: Simplify right side
    283,144.85x = 63,414,635,497.12
  5. Step 5: Solve for x
    x = 63,414,635,497.12/283,144.85
  6. Step 6: Final answer
    x = 223,965.35

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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.