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Finding the Fourth Proportional to 219,950.10, 329,706.45 and 101,414.70

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Solution

The fourth proportional to 219,950.10, 329,706.45 and 101,414.70 is: 152,021.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,950.10 : 329,706.45 = 101,414.70 : x
  2. Step 2: Convert to fraction form
    219,950.10/329,706.45 = 101,414.70/x
  3. Step 3: Cross multiply
    219,950.10x = 329,706.45 × 101,414.70
  4. Step 4: Simplify right side
    219,950.10x = 33,437,080,714.82
  5. Step 5: Solve for x
    x = 33,437,080,714.82/219,950.10
  6. Step 6: Final answer
    x = 152,021.21

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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.