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Finding the Fourth Proportional to 219,769.74, 329,704.32 and 70,018.56

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Solution

The fourth proportional to 219,769.74, 329,704.32 and 70,018.56 is: 105,043.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,769.74 : 329,704.32 = 70,018.56 : x
  2. Step 2: Convert to fraction form
    219,769.74/329,704.32 = 70,018.56/x
  3. Step 3: Cross multiply
    219,769.74x = 329,704.32 × 70,018.56
  4. Step 4: Simplify right side
    219,769.74x = 23,085,421,712.18
  5. Step 5: Solve for x
    x = 23,085,421,712.18/219,769.74
  6. Step 6: Final answer
    x = 105,043.68

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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.