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Finding the Fourth Proportional to 101,409.66, 152,114.75 and 41,438.14

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Solution

The fourth proportional to 101,409.66, 152,114.75 and 41,438.14 is: 62,157.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,409.66 : 152,114.75 = 41,438.14 : x
  2. Step 2: Convert to fraction form
    101,409.66/152,114.75 = 41,438.14/x
  3. Step 3: Cross multiply
    101,409.66x = 152,114.75 × 41,438.14
  4. Step 4: Simplify right side
    101,409.66x = 6,303,352,029.87
  5. Step 5: Solve for x
    x = 6,303,352,029.87/101,409.66
  6. Step 6: Final answer
    x = 62,157.31

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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.