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Finding the Fourth Proportional to 219,786.42, 329,729.36 and 70,035.24

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Solution

The fourth proportional to 219,786.42, 329,729.36 and 70,035.24 is: 105,068.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,786.42 : 329,729.36 = 70,035.24 : x
  2. Step 2: Convert to fraction form
    219,786.42/329,729.36 = 70,035.24/x
  3. Step 3: Cross multiply
    219,786.42x = 329,729.36 × 70,035.24
  4. Step 4: Simplify right side
    219,786.42x = 23,092,674,862.65
  5. Step 5: Solve for x
    x = 23,092,674,862.65/219,786.42
  6. Step 6: Final answer
    x = 105,068.71

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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.