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Finding the Fourth Proportional to 200,215.50, 276,293.68 and 109,569.64

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Solution

The fourth proportional to 200,215.50, 276,293.68 and 109,569.64 is: 151,204.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,215.50 : 276,293.68 = 109,569.64 : x
  2. Step 2: Convert to fraction form
    200,215.50/276,293.68 = 109,569.64/x
  3. Step 3: Cross multiply
    200,215.50x = 276,293.68 × 109,569.64
  4. Step 4: Simplify right side
    200,215.50x = 30,273,399,051.88
  5. Step 5: Solve for x
    x = 30,273,399,051.88/200,215.50
  6. Step 6: Final answer
    x = 151,204.07

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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.