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Finding the Fourth Proportional to 312,015.16, 468,093.18 and 98,795.98

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Solution

The fourth proportional to 312,015.16, 468,093.18 and 98,795.98 is: 148,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,015.16 : 468,093.18 = 98,795.98 : x
  2. Step 2: Convert to fraction form
    312,015.16/468,093.18 = 98,795.98/x
  3. Step 3: Cross multiply
    312,015.16x = 468,093.18 × 98,795.98
  4. Step 4: Simplify right side
    312,015.16x = 46,245,724,449.42
  5. Step 5: Solve for x
    x = 46,245,724,449.42/312,015.16
  6. Step 6: Final answer
    x = 148,216.27

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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.