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Finding the Fourth Proportional to 153,585.81, 211,940.82 and 85,608.38

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Solution

The fourth proportional to 153,585.81, 211,940.82 and 85,608.38 is: 118,135.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,585.81 : 211,940.82 = 85,608.38 : x
  2. Step 2: Convert to fraction form
    153,585.81/211,940.82 = 85,608.38/x
  3. Step 3: Cross multiply
    153,585.81x = 211,940.82 × 85,608.38
  4. Step 4: Simplify right side
    153,585.81x = 18,143,910,256.07
  5. Step 5: Solve for x
    x = 18,143,910,256.07/153,585.81
  6. Step 6: Final answer
    x = 118,135.33

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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.