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Finding the Fourth Proportional to 312,014.16, 468,091.68 and 98,794.98

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Solution

The fourth proportional to 312,014.16, 468,091.68 and 98,794.98 is: 148,214.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,014.16 : 468,091.68 = 98,794.98 : x
  2. Step 2: Convert to fraction form
    312,014.16/468,091.68 = 98,794.98/x
  3. Step 3: Cross multiply
    312,014.16x = 468,091.68 × 98,794.98
  4. Step 4: Simplify right side
    312,014.16x = 46,245,108,163.77
  5. Step 5: Solve for x
    x = 46,245,108,163.77/312,014.16
  6. Step 6: Final answer
    x = 148,214.77

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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.