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Finding the Fourth Proportional to 219,470.74, 329,206.12 and 61,699.22

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Solution

The fourth proportional to 219,470.74, 329,206.12 and 61,699.22 is: 92,548.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,470.74 : 329,206.12 = 61,699.22 : x
  2. Step 2: Convert to fraction form
    219,470.74/329,206.12 = 61,699.22/x
  3. Step 3: Cross multiply
    219,470.74x = 329,206.12 × 61,699.22
  4. Step 4: Simplify right side
    219,470.74x = 20,311,760,823.23
  5. Step 5: Solve for x
    x = 20,311,760,823.23/219,470.74
  6. Step 6: Final answer
    x = 92,548.83

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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.