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Finding the Fourth Proportional to 208,139, 287,231.28 and 112,645.67

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Solution

The fourth proportional to 208,139, 287,231.28 and 112,645.67 is: 155,450.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,139 : 287,231.28 = 112,645.67 : x
  2. Step 2: Convert to fraction form
    208,139/287,231.28 = 112,645.67/x
  3. Step 3: Cross multiply
    208,139x = 287,231.28 × 112,645.67
  4. Step 4: Simplify right side
    208,139x = 32,355,359,980.56
  5. Step 5: Solve for x
    x = 32,355,359,980.56/208,139
  6. Step 6: Final answer
    x = 155,450.73

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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.