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Finding the Fourth Proportional to 205,895.12, 284,111.35 and 115,256.12

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Solution

The fourth proportional to 205,895.12, 284,111.35 and 115,256.12 is: 159,040.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,895.12 : 284,111.35 = 115,256.12 : x
  2. Step 2: Convert to fraction form
    205,895.12/284,111.35 = 115,256.12/x
  3. Step 3: Cross multiply
    205,895.12x = 284,111.35 × 115,256.12
  4. Step 4: Simplify right side
    205,895.12x = 32,745,570,140.27
  5. Step 5: Solve for x
    x = 32,745,570,140.27/205,895.12
  6. Step 6: Final answer
    x = 159,040.05

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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.