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Finding the Fourth Proportional to 210,048.56, 289,817.17 and 119,397.38

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Solution

The fourth proportional to 210,048.56, 289,817.17 and 119,397.38 is: 164,740.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,048.56 : 289,817.17 = 119,397.38 : x
  2. Step 2: Convert to fraction form
    210,048.56/289,817.17 = 119,397.38/x
  3. Step 3: Cross multiply
    210,048.56x = 289,817.17 × 119,397.38
  4. Step 4: Simplify right side
    210,048.56x = 34,603,410,777.01
  5. Step 5: Solve for x
    x = 34,603,410,777.01/210,048.56
  6. Step 6: Final answer
    x = 164,740.06

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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.