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Finding the Fourth Proportional to 205,668.40, 308,272.20 and 116,964.40

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Solution

The fourth proportional to 205,668.40, 308,272.20 and 116,964.40 is: 175,315.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,668.40 : 308,272.20 = 116,964.40 : x
  2. Step 2: Convert to fraction form
    205,668.40/308,272.20 = 116,964.40/x
  3. Step 3: Cross multiply
    205,668.40x = 308,272.20 × 116,964.40
  4. Step 4: Simplify right side
    205,668.40x = 36,056,872,909.68
  5. Step 5: Solve for x
    x = 36,056,872,909.68/205,668.40
  6. Step 6: Final answer
    x = 175,315.57

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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.