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Finding the Fourth Proportional to 202,468.85, 303,530.48 and 143,117.81

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Solution

The fourth proportional to 202,468.85, 303,530.48 and 143,117.81 is: 214,554.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,468.85 : 303,530.48 = 143,117.81 : x
  2. Step 2: Convert to fraction form
    202,468.85/303,530.48 = 143,117.81/x
  3. Step 3: Cross multiply
    202,468.85x = 303,530.48 × 143,117.81
  4. Step 4: Simplify right side
    202,468.85x = 43,440,616,850.26
  5. Step 5: Solve for x
    x = 43,440,616,850.26/202,468.85
  6. Step 6: Final answer
    x = 214,554.57

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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.