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Finding the Fourth Proportional to 150,598.64, 207,827.73 and 82,615.73

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Solution

The fourth proportional to 150,598.64, 207,827.73 and 82,615.73 is: 114,010.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,598.64 : 207,827.73 = 82,615.73 : x
  2. Step 2: Convert to fraction form
    150,598.64/207,827.73 = 82,615.73/x
  3. Step 3: Cross multiply
    150,598.64x = 207,827.73 × 82,615.73
  4. Step 4: Simplify right side
    150,598.64x = 17,169,839,628.19
  5. Step 5: Solve for x
    x = 17,169,839,628.19/150,598.64
  6. Step 6: Final answer
    x = 114,010.59

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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.