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Finding the Fourth Proportional to 119,114.16, 178,697.16 and 36,006

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Solution

The fourth proportional to 119,114.16, 178,697.16 and 36,006 is: 54,016.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,114.16 : 178,697.16 = 36,006 : x
  2. Step 2: Convert to fraction form
    119,114.16/178,697.16 = 36,006/x
  3. Step 3: Cross multiply
    119,114.16x = 178,697.16 × 36,006
  4. Step 4: Simplify right side
    119,114.16x = 6,434,169,942.96
  5. Step 5: Solve for x
    x = 6,434,169,942.96/119,114.16
  6. Step 6: Final answer
    x = 54,016.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.