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Finding the Fourth Proportional to 228,032.98, 314,774.31 and 204,118.30

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Solution

The fourth proportional to 228,032.98, 314,774.31 and 204,118.30 is: 281,762.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,032.98 : 314,774.31 = 204,118.30 : x
  2. Step 2: Convert to fraction form
    228,032.98/314,774.31 = 204,118.30/x
  3. Step 3: Cross multiply
    228,032.98x = 314,774.31 × 204,118.30
  4. Step 4: Simplify right side
    228,032.98x = 64,251,197,040.87
  5. Step 5: Solve for x
    x = 64,251,197,040.87/228,032.98
  6. Step 6: Final answer
    x = 281,762.74

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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.