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Finding the Fourth Proportional to 119,111.64, 178,433.88 and 69,086.64

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Solution

The fourth proportional to 119,111.64, 178,433.88 and 69,086.64 is: 103,494.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,111.64 : 178,433.88 = 69,086.64 : x
  2. Step 2: Convert to fraction form
    119,111.64/178,433.88 = 69,086.64/x
  3. Step 3: Cross multiply
    119,111.64x = 178,433.88 × 69,086.64
  4. Step 4: Simplify right side
    119,111.64x = 12,327,397,231.36
  5. Step 5: Solve for x
    x = 12,327,397,231.36/119,111.64
  6. Step 6: Final answer
    x = 103,494.48

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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.