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Finding the Fourth Proportional to 200,025, 276,023.16 and 109,364.13

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Solution

The fourth proportional to 200,025, 276,023.16 and 109,364.13 is: 150,916.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,025 : 276,023.16 = 109,364.13 : x
  2. Step 2: Convert to fraction form
    200,025/276,023.16 = 109,364.13/x
  3. Step 3: Cross multiply
    200,025x = 276,023.16 × 109,364.13
  4. Step 4: Simplify right side
    200,025x = 30,187,032,753.25
  5. Step 5: Solve for x
    x = 30,187,032,753.25/200,025
  6. Step 6: Final answer
    x = 150,916.30

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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.