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Finding the Fourth Proportional to 312,316.24, 468,435.48 and 101,936.56

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Solution

The fourth proportional to 312,316.24, 468,435.48 and 101,936.56 is: 152,892.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,316.24 : 468,435.48 = 101,936.56 : x
  2. Step 2: Convert to fraction form
    312,316.24/468,435.48 = 101,936.56/x
  3. Step 3: Cross multiply
    312,316.24x = 468,435.48 × 101,936.56
  4. Step 4: Simplify right side
    312,316.24x = 47,750,701,413.15
  5. Step 5: Solve for x
    x = 47,750,701,413.15/312,316.24
  6. Step 6: Final answer
    x = 152,892.15

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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.