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Finding the Fourth Proportional to 281,741.76, 422,612.64 and 94,753.44

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Solution

The fourth proportional to 281,741.76, 422,612.64 and 94,753.44 is: 142,130.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,741.76 : 422,612.64 = 94,753.44 : x
  2. Step 2: Convert to fraction form
    281,741.76/422,612.64 = 94,753.44/x
  3. Step 3: Cross multiply
    281,741.76x = 422,612.64 × 94,753.44
  4. Step 4: Simplify right side
    281,741.76x = 40,044,001,427.48
  5. Step 5: Solve for x
    x = 40,044,001,427.48/281,741.76
  6. Step 6: Final answer
    x = 142,130.16

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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.