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Finding the Fourth Proportional to 211,202.40, 316,220.40 and 164,546.40

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Solution

The fourth proportional to 211,202.40, 316,220.40 and 164,546.40 is: 246,365.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,202.40 : 316,220.40 = 164,546.40 : x
  2. Step 2: Convert to fraction form
    211,202.40/316,220.40 = 164,546.40/x
  3. Step 3: Cross multiply
    211,202.40x = 316,220.40 × 164,546.40
  4. Step 4: Simplify right side
    211,202.40x = 52,032,928,426.56
  5. Step 5: Solve for x
    x = 52,032,928,426.56/211,202.40
  6. Step 6: Final answer
    x = 246,365.23

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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.