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Finding the Fourth Proportional to 217,053.40, 325,142.70 and 146,194.60

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Solution

The fourth proportional to 217,053.40, 325,142.70 and 146,194.60 is: 218,997.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,053.40 : 325,142.70 = 146,194.60 : x
  2. Step 2: Convert to fraction form
    217,053.40/325,142.70 = 146,194.60/x
  3. Step 3: Cross multiply
    217,053.40x = 325,142.70 × 146,194.60
  4. Step 4: Simplify right side
    217,053.40x = 47,534,106,969.42
  5. Step 5: Solve for x
    x = 47,534,106,969.42/217,053.40
  6. Step 6: Final answer
    x = 218,997.29

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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.