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Finding the Fourth Proportional to 284,066.82, 392,011.92 and 156,742.44

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Solution

The fourth proportional to 284,066.82, 392,011.92 and 156,742.44 is: 216,304.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,066.82 : 392,011.92 = 156,742.44 : x
  2. Step 2: Convert to fraction form
    284,066.82/392,011.92 = 156,742.44/x
  3. Step 3: Cross multiply
    284,066.82x = 392,011.92 × 156,742.44
  4. Step 4: Simplify right side
    284,066.82x = 61,444,904,849.88
  5. Step 5: Solve for x
    x = 61,444,904,849.88/284,066.82
  6. Step 6: Final answer
    x = 216,304.41

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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.