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Finding the Fourth Proportional to 210,147.90, 290,012.23 and 119,512.14

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Solution

The fourth proportional to 210,147.90, 290,012.23 and 119,512.14 is: 164,931.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,147.90 : 290,012.23 = 119,512.14 : x
  2. Step 2: Convert to fraction form
    210,147.90/290,012.23 = 119,512.14/x
  3. Step 3: Cross multiply
    210,147.90x = 290,012.23 × 119,512.14
  4. Step 4: Simplify right side
    210,147.90x = 34,659,982,233.47
  5. Step 5: Solve for x
    x = 34,659,982,233.47/210,147.90
  6. Step 6: Final answer
    x = 164,931.38

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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.