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Finding the Fourth Proportional to 200,840.30, 277,159.48 and 110,196.84

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Solution

The fourth proportional to 200,840.30, 277,159.48 and 110,196.84 is: 152,071.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,840.30 : 277,159.48 = 110,196.84 : x
  2. Step 2: Convert to fraction form
    200,840.30/277,159.48 = 110,196.84/x
  3. Step 3: Cross multiply
    200,840.30x = 277,159.48 × 110,196.84
  4. Step 4: Simplify right side
    200,840.30x = 30,542,098,872.04
  5. Step 5: Solve for x
    x = 30,542,098,872.04/200,840.30
  6. Step 6: Final answer
    x = 152,071.57

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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.