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Finding the Fourth Proportional to 153,007.10, 211,145.57 and 85,022.31

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Solution

The fourth proportional to 153,007.10, 211,145.57 and 85,022.31 is: 117,328.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,007.10 : 211,145.57 = 85,022.31 : x
  2. Step 2: Convert to fraction form
    153,007.10/211,145.57 = 85,022.31/x
  3. Step 3: Cross multiply
    153,007.10x = 211,145.57 × 85,022.31
  4. Step 4: Simplify right side
    153,007.10x = 17,952,083,682.56
  5. Step 5: Solve for x
    x = 17,952,083,682.56/153,007.10
  6. Step 6: Final answer
    x = 117,328.44

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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.