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Finding the Fourth Proportional to 201,863.90, 302,705.87 and 107,072.51

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Solution

The fourth proportional to 201,863.90, 302,705.87 and 107,072.51 is: 160,561.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,863.90 : 302,705.87 = 107,072.51 : x
  2. Step 2: Convert to fraction form
    201,863.90/302,705.87 = 107,072.51/x
  3. Step 3: Cross multiply
    201,863.90x = 302,705.87 × 107,072.51
  4. Step 4: Simplify right side
    201,863.90x = 32,411,478,317.08
  5. Step 5: Solve for x
    x = 32,411,478,317.08/201,863.90
  6. Step 6: Final answer
    x = 160,561.04

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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.