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Finding the Fourth Proportional to 210,108.48, 289,974.36 and 119,478.24

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Solution

The fourth proportional to 210,108.48, 289,974.36 and 119,478.24 is: 164,893.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,108.48 : 289,974.36 = 119,478.24 : x
  2. Step 2: Convert to fraction form
    210,108.48/289,974.36 = 119,478.24/x
  3. Step 3: Cross multiply
    210,108.48x = 289,974.36 × 119,478.24
  4. Step 4: Simplify right side
    210,108.48x = 34,645,626,177.93
  5. Step 5: Solve for x
    x = 34,645,626,177.93/210,108.48
  6. Step 6: Final answer
    x = 164,893.99

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