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Finding the Fourth Proportional to 200,376, 276,523.20 and 110,952

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Solution

The fourth proportional to 200,376, 276,523.20 and 110,952 is: 153,116.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,376 : 276,523.20 = 110,952 : x
  2. Step 2: Convert to fraction form
    200,376/276,523.20 = 110,952/x
  3. Step 3: Cross multiply
    200,376x = 276,523.20 × 110,952
  4. Step 4: Simplify right side
    200,376x = 30,680,802,086.40
  5. Step 5: Solve for x
    x = 30,680,802,086.40/200,376
  6. Step 6: Final answer
    x = 153,116.15

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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.