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Finding the Fourth Proportional to 203,452.14, 280,762.59 and 112,808.16

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Solution

The fourth proportional to 203,452.14, 280,762.59 and 112,808.16 is: 155,674.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,452.14 : 280,762.59 = 112,808.16 : x
  2. Step 2: Convert to fraction form
    203,452.14/280,762.59 = 112,808.16/x
  3. Step 3: Cross multiply
    203,452.14x = 280,762.59 × 112,808.16
  4. Step 4: Simplify right side
    203,452.14x = 31,672,311,174.73
  5. Step 5: Solve for x
    x = 31,672,311,174.73/203,452.14
  6. Step 6: Final answer
    x = 155,674.50

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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.