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Finding the Fourth Proportional to 219,332.75, 329,010.80 and 69,584.76

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Solution

The fourth proportional to 219,332.75, 329,010.80 and 69,584.76 is: 104,380.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,332.75 : 329,010.80 = 69,584.76 : x
  2. Step 2: Convert to fraction form
    219,332.75/329,010.80 = 69,584.76/x
  3. Step 3: Cross multiply
    219,332.75x = 329,010.80 × 69,584.76
  4. Step 4: Simplify right side
    219,332.75x = 22,894,137,038.37
  5. Step 5: Solve for x
    x = 22,894,137,038.37/219,332.75
  6. Step 6: Final answer
    x = 104,380.84

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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.