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Finding the Fourth Proportional to 200,772.93, 300,567.69 and 175,861.63

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Solution

The fourth proportional to 200,772.93, 300,567.69 and 175,861.63 is: 263,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,772.93 : 300,567.69 = 175,861.63 : x
  2. Step 2: Convert to fraction form
    200,772.93/300,567.69 = 175,861.63/x
  3. Step 3: Cross multiply
    200,772.93x = 300,567.69 × 175,861.63
  4. Step 4: Simplify right side
    200,772.93x = 52,858,323,769.83
  5. Step 5: Solve for x
    x = 52,858,323,769.83/200,772.93
  6. Step 6: Final answer
    x = 263,274.16

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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.