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Finding the Fourth Proportional to 216,905.76, 299,287.38 and 136,286.52

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Solution

The fourth proportional to 216,905.76, 299,287.38 and 136,286.52 is: 188,048.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,905.76 : 299,287.38 = 136,286.52 : x
  2. Step 2: Convert to fraction form
    216,905.76/299,287.38 = 136,286.52/x
  3. Step 3: Cross multiply
    216,905.76x = 299,287.38 × 136,286.52
  4. Step 4: Simplify right side
    216,905.76x = 40,788,835,500.12
  5. Step 5: Solve for x
    x = 40,788,835,500.12/216,905.76
  6. Step 6: Final answer
    x = 188,048.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.