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Finding the Fourth Proportional to 153,190.88, 211,400.37 and 85,206.39

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Solution

The fourth proportional to 153,190.88, 211,400.37 and 85,206.39 is: 117,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,190.88 : 211,400.37 = 85,206.39 : x
  2. Step 2: Convert to fraction form
    153,190.88/211,400.37 = 85,206.39/x
  3. Step 3: Cross multiply
    153,190.88x = 211,400.37 × 85,206.39
  4. Step 4: Simplify right side
    153,190.88x = 18,012,662,372.36
  5. Step 5: Solve for x
    x = 18,012,662,372.36/153,190.88
  6. Step 6: Final answer
    x = 117,583.13

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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.