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Finding the Fourth Proportional to 242,081.55, 334,142.87 and 161,508.87

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Solution

The fourth proportional to 242,081.55, 334,142.87 and 161,508.87 is: 222,929.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,081.55 : 334,142.87 = 161,508.87 : x
  2. Step 2: Convert to fraction form
    242,081.55/334,142.87 = 161,508.87/x
  3. Step 3: Cross multiply
    242,081.55x = 334,142.87 × 161,508.87
  4. Step 4: Simplify right side
    242,081.55x = 53,967,036,544.71
  5. Step 5: Solve for x
    x = 53,967,036,544.71/242,081.55
  6. Step 6: Final answer
    x = 222,929.16

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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.