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Finding the Fourth Proportional to 200,733.90, 277,016.33 and 110,089.07

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Solution

The fourth proportional to 200,733.90, 277,016.33 and 110,089.07 is: 151,924.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,733.90 : 277,016.33 = 110,089.07 : x
  2. Step 2: Convert to fraction form
    200,733.90/277,016.33 = 110,089.07/x
  3. Step 3: Cross multiply
    200,733.90x = 277,016.33 × 110,089.07
  4. Step 4: Simplify right side
    200,733.90x = 30,496,470,144.51
  5. Step 5: Solve for x
    x = 30,496,470,144.51/200,733.90
  6. Step 6: Final answer
    x = 151,924.86

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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.