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Finding the Fourth Proportional to 310,107.16, 465,162.46 and 110,435.32

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Solution

The fourth proportional to 310,107.16, 465,162.46 and 110,435.32 is: 165,653.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,107.16 : 465,162.46 = 110,435.32 : x
  2. Step 2: Convert to fraction form
    310,107.16/465,162.46 = 110,435.32/x
  3. Step 3: Cross multiply
    310,107.16x = 465,162.46 × 110,435.32
  4. Step 4: Simplify right side
    310,107.16x = 51,370,365,122.09
  5. Step 5: Solve for x
    x = 51,370,365,122.09/310,107.16
  6. Step 6: Final answer
    x = 165,653.59

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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.