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Finding the Fourth Proportional to 222,721.50, 334,101.72 and 56,509.50

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Solution

The fourth proportional to 222,721.50, 334,101.72 and 56,509.50 is: 84,769.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,721.50 : 334,101.72 = 56,509.50 : x
  2. Step 2: Convert to fraction form
    222,721.50/334,101.72 = 56,509.50/x
  3. Step 3: Cross multiply
    222,721.50x = 334,101.72 × 56,509.50
  4. Step 4: Simplify right side
    222,721.50x = 18,879,921,146.34
  5. Step 5: Solve for x
    x = 18,879,921,146.34/222,721.50
  6. Step 6: Final answer
    x = 84,769.19

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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.