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Finding the Fourth Proportional to 223,320.70, 334,865.85 and 83,007.10

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Solution

The fourth proportional to 223,320.70, 334,865.85 and 83,007.10 is: 124,467.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,320.70 : 334,865.85 = 83,007.10 : x
  2. Step 2: Convert to fraction form
    223,320.70/334,865.85 = 83,007.10/x
  3. Step 3: Cross multiply
    223,320.70x = 334,865.85 × 83,007.10
  4. Step 4: Simplify right side
    223,320.70x = 27,796,243,097.54
  5. Step 5: Solve for x
    x = 27,796,243,097.54/223,320.70
  6. Step 6: Final answer
    x = 124,467.83

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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.