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Finding the Fourth Proportional to 257,269.16, 355,075.38 and 149,902.82

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Solution

The fourth proportional to 257,269.16, 355,075.38 and 149,902.82 is: 206,891.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,269.16 : 355,075.38 = 149,902.82 : x
  2. Step 2: Convert to fraction form
    257,269.16/355,075.38 = 149,902.82/x
  3. Step 3: Cross multiply
    257,269.16x = 355,075.38 × 149,902.82
  4. Step 4: Simplify right side
    257,269.16x = 53,226,800,774.57
  5. Step 5: Solve for x
    x = 53,226,800,774.57/257,269.16
  6. Step 6: Final answer
    x = 206,891.49

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