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Finding the Fourth Proportional to 373,735.14, 560,269.35 and 137,022.60

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Solution

The fourth proportional to 373,735.14, 560,269.35 and 137,022.60 is: 205,411.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,735.14 : 560,269.35 = 137,022.60 : x
  2. Step 2: Convert to fraction form
    373,735.14/560,269.35 = 137,022.60/x
  3. Step 3: Cross multiply
    373,735.14x = 560,269.35 × 137,022.60
  4. Step 4: Simplify right side
    373,735.14x = 76,769,563,037.31
  5. Step 5: Solve for x
    x = 76,769,563,037.31/373,735.14
  6. Step 6: Final answer
    x = 205,411.68

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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.