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Finding the Fourth Proportional to 221,324.94, 332,055.45 and 197,802.54

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Solution

The fourth proportional to 221,324.94, 332,055.45 and 197,802.54 is: 296,764.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,324.94 : 332,055.45 = 197,802.54 : x
  2. Step 2: Convert to fraction form
    221,324.94/332,055.45 = 197,802.54/x
  3. Step 3: Cross multiply
    221,324.94x = 332,055.45 × 197,802.54
  4. Step 4: Simplify right side
    221,324.94x = 65,681,411,430.84
  5. Step 5: Solve for x
    x = 65,681,411,430.84/221,324.94
  6. Step 6: Final answer
    x = 296,764.62

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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.