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Finding the Fourth Proportional to 259,010, 388,570.58 and 146,744

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Solution

The fourth proportional to 259,010, 388,570.58 and 146,744 is: 220,147.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,010 : 388,570.58 = 146,744 : x
  2. Step 2: Convert to fraction form
    259,010/388,570.58 = 146,744/x
  3. Step 3: Cross multiply
    259,010x = 388,570.58 × 146,744
  4. Step 4: Simplify right side
    259,010x = 57,020,401,191.52
  5. Step 5: Solve for x
    x = 57,020,401,191.52/259,010
  6. Step 6: Final answer
    x = 220,147.49

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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.