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Finding the Fourth Proportional to 223,209.69, 334,464.54 and 189,792.33

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Solution

The fourth proportional to 223,209.69, 334,464.54 and 189,792.33 is: 284,390.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,209.69 : 334,464.54 = 189,792.33 : x
  2. Step 2: Convert to fraction form
    223,209.69/334,464.54 = 189,792.33/x
  3. Step 3: Cross multiply
    223,209.69x = 334,464.54 × 189,792.33
  4. Step 4: Simplify right side
    223,209.69x = 63,478,804,348.98
  5. Step 5: Solve for x
    x = 63,478,804,348.98/223,209.69
  6. Step 6: Final answer
    x = 284,390.90

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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.