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Finding the Fourth Proportional to 308,152.40, 462,185.54 and 105,745.32

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Solution

The fourth proportional to 308,152.40, 462,185.54 and 105,745.32 is: 158,603.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,152.40 : 462,185.54 = 105,745.32 : x
  2. Step 2: Convert to fraction form
    308,152.40/462,185.54 = 105,745.32/x
  3. Step 3: Cross multiply
    308,152.40x = 462,185.54 × 105,745.32
  4. Step 4: Simplify right side
    308,152.40x = 48,873,959,589.21
  5. Step 5: Solve for x
    x = 48,873,959,589.21/308,152.40
  6. Step 6: Final answer
    x = 158,603.21

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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.