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Finding the Fourth Proportional to 210,499.38, 290,113.38 and 159,390

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Solution

The fourth proportional to 210,499.38, 290,113.38 and 159,390 is: 219,673.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,499.38 : 290,113.38 = 159,390 : x
  2. Step 2: Convert to fraction form
    210,499.38/290,113.38 = 159,390/x
  3. Step 3: Cross multiply
    210,499.38x = 290,113.38 × 159,390
  4. Step 4: Simplify right side
    210,499.38x = 46,241,171,638.20
  5. Step 5: Solve for x
    x = 46,241,171,638.20/210,499.38
  6. Step 6: Final answer
    x = 219,673.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.