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Finding the Fourth Proportional to 200,837.34, 277,159.14 and 110,197.80

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Solution

The fourth proportional to 200,837.34, 277,159.14 and 110,197.80 is: 152,074.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,837.34 : 277,159.14 = 110,197.80 : x
  2. Step 2: Convert to fraction form
    200,837.34/277,159.14 = 110,197.80/x
  3. Step 3: Cross multiply
    200,837.34x = 277,159.14 × 110,197.80
  4. Step 4: Simplify right side
    200,837.34x = 30,542,327,477.89
  5. Step 5: Solve for x
    x = 30,542,327,477.89/200,837.34
  6. Step 6: Final answer
    x = 152,074.95

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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.