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Finding the Fourth Proportional to 207,923.14, 311,923.14 and 65,804.23

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Solution

The fourth proportional to 207,923.14, 311,923.14 and 65,804.23 is: 98,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,923.14 : 311,923.14 = 65,804.23 : x
  2. Step 2: Convert to fraction form
    207,923.14/311,923.14 = 65,804.23/x
  3. Step 3: Cross multiply
    207,923.14x = 311,923.14 × 65,804.23
  4. Step 4: Simplify right side
    207,923.14x = 20,525,860,158.25
  5. Step 5: Solve for x
    x = 20,525,860,158.25/207,923.14
  6. Step 6: Final answer
    x = 98,718.50

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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.