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Finding the Fourth Proportional to 139,537.96, 209,305.23 and 34,357.84

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Solution

The fourth proportional to 139,537.96, 209,305.23 and 34,357.84 is: 51,536.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,537.96 : 209,305.23 = 34,357.84 : x
  2. Step 2: Convert to fraction form
    139,537.96/209,305.23 = 34,357.84/x
  3. Step 3: Cross multiply
    139,537.96x = 209,305.23 × 34,357.84
  4. Step 4: Simplify right side
    139,537.96x = 7,191,275,603.50
  5. Step 5: Solve for x
    x = 7,191,275,603.50/139,537.96
  6. Step 6: Final answer
    x = 51,536.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.