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Finding the Fourth Proportional to 178,396.63, 246,194.81 and 97,827.25

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Solution

The fourth proportional to 178,396.63, 246,194.81 and 97,827.25 is: 135,005.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,396.63 : 246,194.81 = 97,827.25 : x
  2. Step 2: Convert to fraction form
    178,396.63/246,194.81 = 97,827.25/x
  3. Step 3: Cross multiply
    178,396.63x = 246,194.81 × 97,827.25
  4. Step 4: Simplify right side
    178,396.63x = 24,084,561,226.57
  5. Step 5: Solve for x
    x = 24,084,561,226.57/178,396.63
  6. Step 6: Final answer
    x = 135,005.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.