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Finding the Fourth Proportional to 211,324.40, 316,403.40 and 164,668.40

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Solution

The fourth proportional to 211,324.40, 316,403.40 and 164,668.40 is: 246,548.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,324.40 : 316,403.40 = 164,668.40 : x
  2. Step 2: Convert to fraction form
    211,324.40/316,403.40 = 164,668.40/x
  3. Step 3: Cross multiply
    211,324.40x = 316,403.40 × 164,668.40
  4. Step 4: Simplify right side
    211,324.40x = 52,101,641,632.56
  5. Step 5: Solve for x
    x = 52,101,641,632.56/211,324.40
  6. Step 6: Final answer
    x = 246,548.16

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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.