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Finding the Fourth Proportional to 203,463.52, 280,783.02 and 112,823.30

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Solution

The fourth proportional to 203,463.52, 280,783.02 and 112,823.30 is: 155,698.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,463.52 : 280,783.02 = 112,823.30 : x
  2. Step 2: Convert to fraction form
    203,463.52/280,783.02 = 112,823.30/x
  3. Step 3: Cross multiply
    203,463.52x = 280,783.02 × 112,823.30
  4. Step 4: Simplify right side
    203,463.52x = 31,678,866,900.37
  5. Step 5: Solve for x
    x = 31,678,866,900.37/203,463.52
  6. Step 6: Final answer
    x = 155,698.02

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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.