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Finding the Fourth Proportional to 297,875.76, 446,673.25 and 108,202.41

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Solution

The fourth proportional to 297,875.76, 446,673.25 and 108,202.41 is: 162,252.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,875.76 : 446,673.25 = 108,202.41 : x
  2. Step 2: Convert to fraction form
    297,875.76/446,673.25 = 108,202.41/x
  3. Step 3: Cross multiply
    297,875.76x = 446,673.25 × 108,202.41
  4. Step 4: Simplify right side
    297,875.76x = 48,331,122,132.53
  5. Step 5: Solve for x
    x = 48,331,122,132.53/297,875.76
  6. Step 6: Final answer
    x = 162,252.62

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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.