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Finding the Fourth Proportional to 218,483.89, 301,600.97 and 146,905.41

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Solution

The fourth proportional to 218,483.89, 301,600.97 and 146,905.41 is: 202,792.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,483.89 : 301,600.97 = 146,905.41 : x
  2. Step 2: Convert to fraction form
    218,483.89/301,600.97 = 146,905.41/x
  3. Step 3: Cross multiply
    218,483.89x = 301,600.97 × 146,905.41
  4. Step 4: Simplify right side
    218,483.89x = 44,306,814,154.25
  5. Step 5: Solve for x
    x = 44,306,814,154.25/218,483.89
  6. Step 6: Final answer
    x = 202,792.13

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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.