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Finding the Fourth Proportional to 284,063.22, 392,008.41 and 156,742.56

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Solution

The fourth proportional to 284,063.22, 392,008.41 and 156,742.56 is: 216,305.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,063.22 : 392,008.41 = 156,742.56 : x
  2. Step 2: Convert to fraction form
    284,063.22/392,008.41 = 156,742.56/x
  3. Step 3: Cross multiply
    284,063.22x = 392,008.41 × 156,742.56
  4. Step 4: Simplify right side
    284,063.22x = 61,444,401,724.93
  5. Step 5: Solve for x
    x = 61,444,401,724.93/284,063.22
  6. Step 6: Final answer
    x = 216,305.38

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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.