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Finding the Fourth Proportional to 106,844.31, 160,303.32 and 40,303.49

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Solution

The fourth proportional to 106,844.31, 160,303.32 and 40,303.49 is: 60,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,844.31 : 160,303.32 = 40,303.49 : x
  2. Step 2: Convert to fraction form
    106,844.31/160,303.32 = 40,303.49/x
  3. Step 3: Cross multiply
    106,844.31x = 160,303.32 × 40,303.49
  4. Step 4: Simplify right side
    106,844.31x = 6,460,782,453.07
  5. Step 5: Solve for x
    x = 6,460,782,453.07/106,844.31
  6. Step 6: Final answer
    x = 60,469.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.