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Finding the Fourth Proportional to 161,622, 242,442.72 and 50,814

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Solution

The fourth proportional to 161,622, 242,442.72 and 50,814 is: 76,224.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,622 : 242,442.72 = 50,814 : x
  2. Step 2: Convert to fraction form
    161,622/242,442.72 = 50,814/x
  3. Step 3: Cross multiply
    161,622x = 242,442.72 × 50,814
  4. Step 4: Simplify right side
    161,622x = 12,319,484,374.08
  5. Step 5: Solve for x
    x = 12,319,484,374.08/161,622
  6. Step 6: Final answer
    x = 76,224.06

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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.