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Finding the Fourth Proportional to 262,146.96, 391,442.37 and 208,233.77

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Solution

The fourth proportional to 262,146.96, 391,442.37 and 208,233.77 is: 310,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,146.96 : 391,442.37 = 208,233.77 : x
  2. Step 2: Convert to fraction form
    262,146.96/391,442.37 = 208,233.77/x
  3. Step 3: Cross multiply
    262,146.96x = 391,442.37 × 208,233.77
  4. Step 4: Simplify right side
    262,146.96x = 81,511,520,442.83
  5. Step 5: Solve for x
    x = 81,511,520,442.83/262,146.96
  6. Step 6: Final answer
    x = 310,938.26

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.