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Finding the Fourth Proportional to 201,991.59, 302,916.54 and 110,788.68

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Solution

The fourth proportional to 201,991.59, 302,916.54 and 110,788.68 is: 166,144.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,991.59 : 302,916.54 = 110,788.68 : x
  2. Step 2: Convert to fraction form
    201,991.59/302,916.54 = 110,788.68/x
  3. Step 3: Cross multiply
    201,991.59x = 302,916.54 × 110,788.68
  4. Step 4: Simplify right side
    201,991.59x = 33,559,723,616.77
  5. Step 5: Solve for x
    x = 33,559,723,616.77/201,991.59
  6. Step 6: Final answer
    x = 166,144.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.