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Finding the Fourth Proportional to 200,766.27, 300,557.74 and 175,854.98

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Solution

The fourth proportional to 200,766.27, 300,557.74 and 175,854.98 is: 263,264.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,766.27 : 300,557.74 = 175,854.98 : x
  2. Step 2: Convert to fraction form
    200,766.27/300,557.74 = 175,854.98/x
  3. Step 3: Cross multiply
    200,766.27x = 300,557.74 × 175,854.98
  4. Step 4: Simplify right side
    200,766.27x = 52,854,573,414.12
  5. Step 5: Solve for x
    x = 52,854,573,414.12/200,766.27
  6. Step 6: Final answer
    x = 263,264.21

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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.