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Finding the Fourth Proportional to 200,068.64, 276,084.49 and 109,406.98

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Solution

The fourth proportional to 200,068.64, 276,084.49 and 109,406.98 is: 150,976.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,068.64 : 276,084.49 = 109,406.98 : x
  2. Step 2: Convert to fraction form
    200,068.64/276,084.49 = 109,406.98/x
  3. Step 3: Cross multiply
    200,068.64x = 276,084.49 × 109,406.98
  4. Step 4: Simplify right side
    200,068.64x = 30,205,570,275.74
  5. Step 5: Solve for x
    x = 30,205,570,275.74/200,068.64
  6. Step 6: Final answer
    x = 150,976.04

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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.