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Finding the Fourth Proportional to 223,200.16, 334,800.84 and 54,721.24

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Solution

The fourth proportional to 223,200.16, 334,800.84 and 54,721.24 is: 82,082.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,200.16 : 334,800.84 = 54,721.24 : x
  2. Step 2: Convert to fraction form
    223,200.16/334,800.84 = 54,721.24/x
  3. Step 3: Cross multiply
    223,200.16x = 334,800.84 × 54,721.24
  4. Step 4: Simplify right side
    223,200.16x = 18,320,717,117.84
  5. Step 5: Solve for x
    x = 18,320,717,117.84/223,200.16
  6. Step 6: Final answer
    x = 82,082.01

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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.