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Finding the Fourth Proportional to 267,266.85, 368,828.34 and 146,412.49

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Solution

The fourth proportional to 267,266.85, 368,828.34 and 146,412.49 is: 202,049.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,266.85 : 368,828.34 = 146,412.49 : x
  2. Step 2: Convert to fraction form
    267,266.85/368,828.34 = 146,412.49/x
  3. Step 3: Cross multiply
    267,266.85x = 368,828.34 × 146,412.49
  4. Step 4: Simplify right side
    267,266.85x = 54,001,075,641.97
  5. Step 5: Solve for x
    x = 54,001,075,641.97/267,266.85
  6. Step 6: Final answer
    x = 202,049.28

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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.