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Finding the Fourth Proportional to 153,004.02, 211,141.43 and 85,019.31

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Solution

The fourth proportional to 153,004.02, 211,141.43 and 85,019.31 is: 117,324.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,004.02 : 211,141.43 = 85,019.31 : x
  2. Step 2: Convert to fraction form
    153,004.02/211,141.43 = 85,019.31/x
  3. Step 3: Cross multiply
    153,004.02x = 211,141.43 × 85,019.31
  4. Step 4: Simplify right side
    153,004.02x = 17,951,098,265.92
  5. Step 5: Solve for x
    x = 17,951,098,265.92/153,004.02
  6. Step 6: Final answer
    x = 117,324.36

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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.