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Finding the Fourth Proportional to 588,158.88, 882,168.16 and 161,738

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Solution

The fourth proportional to 588,158.88, 882,168.16 and 161,738 is: 242,587.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    588,158.88 : 882,168.16 = 161,738 : x
  2. Step 2: Convert to fraction form
    588,158.88/882,168.16 = 161,738/x
  3. Step 3: Cross multiply
    588,158.88x = 882,168.16 × 161,738
  4. Step 4: Simplify right side
    588,158.88x = 142,680,113,862.08
  5. Step 5: Solve for x
    x = 142,680,113,862.08/588,158.88
  6. Step 6: Final answer
    x = 242,587.71

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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.