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Finding the Fourth Proportional to 200,357, 276,501.30 and 110,933

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Solution

The fourth proportional to 200,357, 276,501.30 and 110,933 is: 153,092.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,357 : 276,501.30 = 110,933 : x
  2. Step 2: Convert to fraction form
    200,357/276,501.30 = 110,933/x
  3. Step 3: Cross multiply
    200,357x = 276,501.30 × 110,933
  4. Step 4: Simplify right side
    200,357x = 30,673,118,712.90
  5. Step 5: Solve for x
    x = 30,673,118,712.90/200,357
  6. Step 6: Final answer
    x = 153,092.32

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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.