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Finding the Fourth Proportional to 223,658.64, 335,477.10 and 83,406.36

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Solution

The fourth proportional to 223,658.64, 335,477.10 and 83,406.36 is: 125,105.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,658.64 : 335,477.10 = 83,406.36 : x
  2. Step 2: Convert to fraction form
    223,658.64/335,477.10 = 83,406.36/x
  3. Step 3: Cross multiply
    223,658.64x = 335,477.10 × 83,406.36
  4. Step 4: Simplify right side
    223,658.64x = 27,980,923,774.36
  5. Step 5: Solve for x
    x = 27,980,923,774.36/223,658.64
  6. Step 6: Final answer
    x = 125,105.49

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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.