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Finding the Fourth Proportional to 200,334, 276,461.46 and 109,690.68

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Solution

The fourth proportional to 200,334, 276,461.46 and 109,690.68 is: 151,373.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,334 : 276,461.46 = 109,690.68 : x
  2. Step 2: Convert to fraction form
    200,334/276,461.46 = 109,690.68/x
  3. Step 3: Cross multiply
    200,334x = 276,461.46 × 109,690.68
  4. Step 4: Simplify right side
    200,334x = 30,325,245,541.19
  5. Step 5: Solve for x
    x = 30,325,245,541.19/200,334
  6. Step 6: Final answer
    x = 151,373.43

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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.