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Finding the Fourth Proportional to 153,309.54, 211,573.23 and 85,329.37

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Solution

The fourth proportional to 153,309.54, 211,573.23 and 85,329.37 is: 117,757.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,309.54 : 211,573.23 = 85,329.37 : x
  2. Step 2: Convert to fraction form
    153,309.54/211,573.23 = 85,329.37/x
  3. Step 3: Cross multiply
    153,309.54x = 211,573.23 × 85,329.37
  4. Step 4: Simplify right side
    153,309.54x = 18,053,410,424.77
  5. Step 5: Solve for x
    x = 18,053,410,424.77/153,309.54
  6. Step 6: Final answer
    x = 117,757.91

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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.