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Finding the Fourth Proportional to 178,391.12, 246,182.52 and 97,826

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Solution

The fourth proportional to 178,391.12, 246,182.52 and 97,826 is: 135,001.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,391.12 : 246,182.52 = 97,826 : x
  2. Step 2: Convert to fraction form
    178,391.12/246,182.52 = 97,826/x
  3. Step 3: Cross multiply
    178,391.12x = 246,182.52 × 97,826
  4. Step 4: Simplify right side
    178,391.12x = 24,083,051,201.52
  5. Step 5: Solve for x
    x = 24,083,051,201.52/178,391.12
  6. Step 6: Final answer
    x = 135,001.40

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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.