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Finding the Fourth Proportional to 294,032.50, 405,768.09 and 159,896.50

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Solution

The fourth proportional to 294,032.50, 405,768.09 and 159,896.50 is: 220,658.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,032.50 : 405,768.09 = 159,896.50 : x
  2. Step 2: Convert to fraction form
    294,032.50/405,768.09 = 159,896.50/x
  3. Step 3: Cross multiply
    294,032.50x = 405,768.09 × 159,896.50
  4. Step 4: Simplify right side
    294,032.50x = 64,880,897,402.69
  5. Step 5: Solve for x
    x = 64,880,897,402.69/294,032.50
  6. Step 6: Final answer
    x = 220,658.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.