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Finding the Fourth Proportional to 355,882.84, 533,824.26 and 156,204.96

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Solution

The fourth proportional to 355,882.84, 533,824.26 and 156,204.96 is: 234,307.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,882.84 : 533,824.26 = 156,204.96 : x
  2. Step 2: Convert to fraction form
    355,882.84/533,824.26 = 156,204.96/x
  3. Step 3: Cross multiply
    355,882.84x = 533,824.26 × 156,204.96
  4. Step 4: Simplify right side
    355,882.84x = 83,385,995,251.71
  5. Step 5: Solve for x
    x = 83,385,995,251.71/355,882.84
  6. Step 6: Final answer
    x = 234,307.43

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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.