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Finding the Fourth Proportional to 231,431.39, 319,235.67 and 152,849.83

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Solution

The fourth proportional to 231,431.39, 319,235.67 and 152,849.83 is: 210,840.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,431.39 : 319,235.67 = 152,849.83 : x
  2. Step 2: Convert to fraction form
    231,431.39/319,235.67 = 152,849.83/x
  3. Step 3: Cross multiply
    231,431.39x = 319,235.67 × 152,849.83
  4. Step 4: Simplify right side
    231,431.39x = 48,795,117,125.19
  5. Step 5: Solve for x
    x = 48,795,117,125.19/231,431.39
  6. Step 6: Final answer
    x = 210,840.53

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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.