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Finding the Fourth Proportional to 200,281.69, 276,420.92 and 114,268.73

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Solution

The fourth proportional to 200,281.69, 276,420.92 and 114,268.73 is: 157,709.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,281.69 : 276,420.92 = 114,268.73 : x
  2. Step 2: Convert to fraction form
    200,281.69/276,420.92 = 114,268.73/x
  3. Step 3: Cross multiply
    200,281.69x = 276,420.92 × 114,268.73
  4. Step 4: Simplify right side
    200,281.69x = 31,586,267,473.83
  5. Step 5: Solve for x
    x = 31,586,267,473.83/200,281.69
  6. Step 6: Final answer
    x = 157,709.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.