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Finding the Fourth Proportional to 219,098.40, 328,696.92 and 69,347.64

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Solution

The fourth proportional to 219,098.40, 328,696.92 and 69,347.64 is: 104,037.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,098.40 : 328,696.92 = 69,347.64 : x
  2. Step 2: Convert to fraction form
    219,098.40/328,696.92 = 69,347.64/x
  3. Step 3: Cross multiply
    219,098.40x = 328,696.92 × 69,347.64
  4. Step 4: Simplify right side
    219,098.40x = 22,794,355,677.27
  5. Step 5: Solve for x
    x = 22,794,355,677.27/219,098.40
  6. Step 6: Final answer
    x = 104,037.07

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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.