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Finding the Fourth Proportional to 210,489.28, 314,198.41 and 183,916.96

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Solution

The fourth proportional to 210,489.28, 314,198.41 and 183,916.96 is: 274,533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,489.28 : 314,198.41 = 183,916.96 : x
  2. Step 2: Convert to fraction form
    210,489.28/314,198.41 = 183,916.96/x
  3. Step 3: Cross multiply
    210,489.28x = 314,198.41 × 183,916.96
  4. Step 4: Simplify right side
    210,489.28x = 57,786,416,404.03
  5. Step 5: Solve for x
    x = 57,786,416,404.03/210,489.28
  6. Step 6: Final answer
    x = 274,533.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.