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Finding the Fourth Proportional to 162,466.56, 224,138.88 and 102,816

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Solution

The fourth proportional to 162,466.56, 224,138.88 and 102,816 is: 141,844.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,466.56 : 224,138.88 = 102,816 : x
  2. Step 2: Convert to fraction form
    162,466.56/224,138.88 = 102,816/x
  3. Step 3: Cross multiply
    162,466.56x = 224,138.88 × 102,816
  4. Step 4: Simplify right side
    162,466.56x = 23,045,063,086.08
  5. Step 5: Solve for x
    x = 23,045,063,086.08/162,466.56
  6. Step 6: Final answer
    x = 141,844.96

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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.