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Finding the Fourth Proportional to 252,913.70, 379,309.80 and 146,066.60

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Solution

The fourth proportional to 252,913.70, 379,309.80 and 146,066.60 is: 219,064.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,913.70 : 379,309.80 = 146,066.60 : x
  2. Step 2: Convert to fraction form
    252,913.70/379,309.80 = 146,066.60/x
  3. Step 3: Cross multiply
    252,913.70x = 379,309.80 × 146,066.60
  4. Step 4: Simplify right side
    252,913.70x = 55,404,492,832.68
  5. Step 5: Solve for x
    x = 55,404,492,832.68/252,913.70
  6. Step 6: Final answer
    x = 219,064.81

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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.