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Finding the Fourth Proportional to 214,602.40, 321,903.60 and 164,933.20

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Solution

The fourth proportional to 214,602.40, 321,903.60 and 164,933.20 is: 247,399.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,602.40 : 321,903.60 = 164,933.20 : x
  2. Step 2: Convert to fraction form
    214,602.40/321,903.60 = 164,933.20/x
  3. Step 3: Cross multiply
    214,602.40x = 321,903.60 × 164,933.20
  4. Step 4: Simplify right side
    214,602.40x = 53,092,590,839.52
  5. Step 5: Solve for x
    x = 53,092,590,839.52/214,602.40
  6. Step 6: Final answer
    x = 247,399.80

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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.