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Finding the Fourth Proportional to 294,052.50, 405,792.46 and 159,916.50

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Solution

The fourth proportional to 294,052.50, 405,792.46 and 159,916.50 is: 220,684.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,052.50 : 405,792.46 = 159,916.50 : x
  2. Step 2: Convert to fraction form
    294,052.50/405,792.46 = 159,916.50/x
  3. Step 3: Cross multiply
    294,052.50x = 405,792.46 × 159,916.50
  4. Step 4: Simplify right side
    294,052.50x = 64,892,909,929.59
  5. Step 5: Solve for x
    x = 64,892,909,929.59/294,052.50
  6. Step 6: Final answer
    x = 220,684.78

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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.