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Finding the Fourth Proportional to 297,141.60, 445,515.60 and 164,085.60

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Solution

The fourth proportional to 297,141.60, 445,515.60 and 164,085.60 is: 246,019.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,141.60 : 445,515.60 = 164,085.60 : x
  2. Step 2: Convert to fraction form
    297,141.60/445,515.60 = 164,085.60/x
  3. Step 3: Cross multiply
    297,141.60x = 445,515.60 × 164,085.60
  4. Step 4: Simplify right side
    297,141.60x = 73,102,694,535.36
  5. Step 5: Solve for x
    x = 73,102,694,535.36/297,141.60
  6. Step 6: Final answer
    x = 246,019.72

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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.