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Finding the Fourth Proportional to 137,603.52, 206,405.46 and 37,765.08

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Solution

The fourth proportional to 137,603.52, 206,405.46 and 37,765.08 is: 56,647.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,603.52 : 206,405.46 = 37,765.08 : x
  2. Step 2: Convert to fraction form
    137,603.52/206,405.46 = 37,765.08/x
  3. Step 3: Cross multiply
    137,603.52x = 206,405.46 × 37,765.08
  4. Step 4: Simplify right side
    137,603.52x = 7,794,918,709.34
  5. Step 5: Solve for x
    x = 7,794,918,709.34/137,603.52
  6. Step 6: Final answer
    x = 56,647.67

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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.