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Finding the Fourth Proportional to 200,355, 276,498.54 and 110,931

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Solution

The fourth proportional to 200,355, 276,498.54 and 110,931 is: 153,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,355 : 276,498.54 = 110,931 : x
  2. Step 2: Convert to fraction form
    200,355/276,498.54 = 110,931/x
  3. Step 3: Cross multiply
    200,355x = 276,498.54 × 110,931
  4. Step 4: Simplify right side
    200,355x = 30,672,259,540.74
  5. Step 5: Solve for x
    x = 30,672,259,540.74/200,355
  6. Step 6: Final answer
    x = 153,089.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.