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Finding the Fourth Proportional to 202,738.42, 279,777.17 and 112,096.72

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Solution

The fourth proportional to 202,738.42, 279,777.17 and 112,096.72 is: 154,692.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,738.42 : 279,777.17 = 112,096.72 : x
  2. Step 2: Convert to fraction form
    202,738.42/279,777.17 = 112,096.72/x
  3. Step 3: Cross multiply
    202,738.42x = 279,777.17 × 112,096.72
  4. Step 4: Simplify right side
    202,738.42x = 31,362,101,128.51
  5. Step 5: Solve for x
    x = 31,362,101,128.51/202,738.42
  6. Step 6: Final answer
    x = 154,692.45

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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.