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Finding the Fourth Proportional to 150,598.14, 207,827.04 and 82,615.23

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Solution

The fourth proportional to 150,598.14, 207,827.04 and 82,615.23 is: 114,009.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,598.14 : 207,827.04 = 82,615.23 : x
  2. Step 2: Convert to fraction form
    150,598.14/207,827.04 = 82,615.23/x
  3. Step 3: Cross multiply
    150,598.14x = 207,827.04 × 82,615.23
  4. Step 4: Simplify right side
    150,598.14x = 17,169,678,709.82
  5. Step 5: Solve for x
    x = 17,169,678,709.82/150,598.14
  6. Step 6: Final answer
    x = 114,009.90

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