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Finding the Fourth Proportional to 200,728.04, 276,776.34 and 164,313.68

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Solution

The fourth proportional to 200,728.04, 276,776.34 and 164,313.68 is: 226,565.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,728.04 : 276,776.34 = 164,313.68 : x
  2. Step 2: Convert to fraction form
    200,728.04/276,776.34 = 164,313.68/x
  3. Step 3: Cross multiply
    200,728.04x = 276,776.34 × 164,313.68
  4. Step 4: Simplify right side
    200,728.04x = 45,478,138,962.33
  5. Step 5: Solve for x
    x = 45,478,138,962.33/200,728.04
  6. Step 6: Final answer
    x = 226,565.95

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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.