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Finding the Fourth Proportional to 66,699.16, 100,119.22 and 65,193.24

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Solution

The fourth proportional to 66,699.16, 100,119.22 and 65,193.24 is: 97,858.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,699.16 : 100,119.22 = 65,193.24 : x
  2. Step 2: Convert to fraction form
    66,699.16/100,119.22 = 65,193.24/x
  3. Step 3: Cross multiply
    66,699.16x = 100,119.22 × 65,193.24
  4. Step 4: Simplify right side
    66,699.16x = 6,527,096,338.07
  5. Step 5: Solve for x
    x = 6,527,096,338.07/66,699.16
  6. Step 6: Final answer
    x = 97,858.75

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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.