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Finding the Fourth Proportional to 294,278.14, 406,075.74 and 165,187.03

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Solution

The fourth proportional to 294,278.14, 406,075.74 and 165,187.03 is: 227,942.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,278.14 : 406,075.74 = 165,187.03 : x
  2. Step 2: Convert to fraction form
    294,278.14/406,075.74 = 165,187.03/x
  3. Step 3: Cross multiply
    294,278.14x = 406,075.74 × 165,187.03
  4. Step 4: Simplify right side
    294,278.14x = 67,078,445,445.65
  5. Step 5: Solve for x
    x = 67,078,445,445.65/294,278.14
  6. Step 6: Final answer
    x = 227,942.33

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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.