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Finding the Fourth Proportional to 310,120.08, 465,273.54 and 96,879.38

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Solution

The fourth proportional to 310,120.08, 465,273.54 and 96,879.38 is: 145,348.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,120.08 : 465,273.54 = 96,879.38 : x
  2. Step 2: Convert to fraction form
    310,120.08/465,273.54 = 96,879.38/x
  3. Step 3: Cross multiply
    310,120.08x = 465,273.54 × 96,879.38
  4. Step 4: Simplify right side
    310,120.08x = 45,075,409,759.24
  5. Step 5: Solve for x
    x = 45,075,409,759.24/310,120.08
  6. Step 6: Final answer
    x = 145,348.25

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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.