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Finding the Fourth Proportional to 281,543.84, 422,335.47 and 113,064.16

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Solution

The fourth proportional to 281,543.84, 422,335.47 and 113,064.16 is: 169,604.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,543.84 : 422,335.47 = 113,064.16 : x
  2. Step 2: Convert to fraction form
    281,543.84/422,335.47 = 113,064.16/x
  3. Step 3: Cross multiply
    281,543.84x = 422,335.47 × 113,064.16
  4. Step 4: Simplify right side
    281,543.84x = 47,751,005,153.76
  5. Step 5: Solve for x
    x = 47,751,005,153.76/281,543.84
  6. Step 6: Final answer
    x = 169,604.16

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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.