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Finding the Fourth Proportional to 201,971.09, 302,956.64 and 61,728.50

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Solution

The fourth proportional to 201,971.09, 302,956.64 and 61,728.50 is: 92,592.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,971.09 : 302,956.64 = 61,728.50 : x
  2. Step 2: Convert to fraction form
    201,971.09/302,956.64 = 61,728.50/x
  3. Step 3: Cross multiply
    201,971.09x = 302,956.64 × 61,728.50
  4. Step 4: Simplify right side
    201,971.09x = 18,701,057,128.81
  5. Step 5: Solve for x
    x = 18,701,057,128.81/201,971.09
  6. Step 6: Final answer
    x = 92,592.74

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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.