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Finding the Fourth Proportional to 119,509.44, 164,974.04 and 85,076.40

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Solution

The fourth proportional to 119,509.44, 164,974.04 and 85,076.40 is: 117,441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,509.44 : 164,974.04 = 85,076.40 : x
  2. Step 2: Convert to fraction form
    119,509.44/164,974.04 = 85,076.40/x
  3. Step 3: Cross multiply
    119,509.44x = 164,974.04 × 85,076.40
  4. Step 4: Simplify right side
    119,509.44x = 14,035,397,416.66
  5. Step 5: Solve for x
    x = 14,035,397,416.66/119,509.44
  6. Step 6: Final answer
    x = 117,441.75

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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.