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Finding the Fourth Proportional to 303,501.75, 418,830.11 and 167,535.80

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Solution

The fourth proportional to 303,501.75, 418,830.11 and 167,535.80 is: 231,198.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,501.75 : 418,830.11 = 167,535.80 : x
  2. Step 2: Convert to fraction form
    303,501.75/418,830.11 = 167,535.80/x
  3. Step 3: Cross multiply
    303,501.75x = 418,830.11 × 167,535.80
  4. Step 4: Simplify right side
    303,501.75x = 70,169,038,537.64
  5. Step 5: Solve for x
    x = 70,169,038,537.64/303,501.75
  6. Step 6: Final answer
    x = 231,198.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.