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Finding the Fourth Proportional to 211,204.40, 316,223.40 and 164,548.40

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Solution

The fourth proportional to 211,204.40, 316,223.40 and 164,548.40 is: 246,368.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,204.40 : 316,223.40 = 164,548.40 : x
  2. Step 2: Convert to fraction form
    211,204.40/316,223.40 = 164,548.40/x
  3. Step 3: Cross multiply
    211,204.40x = 316,223.40 × 164,548.40
  4. Step 4: Simplify right side
    211,204.40x = 52,034,054,512.56
  5. Step 5: Solve for x
    x = 52,034,054,512.56/211,204.40
  6. Step 6: Final answer
    x = 246,368.23

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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.