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Finding the Fourth Proportional to 219,709.64, 329,535.30 and 61,950.80

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Solution

The fourth proportional to 219,709.64, 329,535.30 and 61,950.80 is: 92,917.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,709.64 : 329,535.30 = 61,950.80 : x
  2. Step 2: Convert to fraction form
    219,709.64/329,535.30 = 61,950.80/x
  3. Step 3: Cross multiply
    219,709.64x = 329,535.30 × 61,950.80
  4. Step 4: Simplify right side
    219,709.64x = 20,414,975,463.24
  5. Step 5: Solve for x
    x = 20,414,975,463.24/219,709.64
  6. Step 6: Final answer
    x = 92,917.98

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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.