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Finding the Fourth Proportional to 201,974.70, 302,767.65 and 156,971.10

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Solution

The fourth proportional to 201,974.70, 302,767.65 and 156,971.10 is: 235,305.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,974.70 : 302,767.65 = 156,971.10 : x
  2. Step 2: Convert to fraction form
    201,974.70/302,767.65 = 156,971.10/x
  3. Step 3: Cross multiply
    201,974.70x = 302,767.65 × 156,971.10
  4. Step 4: Simplify right side
    201,974.70x = 47,525,771,064.92
  5. Step 5: Solve for x
    x = 47,525,771,064.92/201,974.70
  6. Step 6: Final answer
    x = 235,305.57

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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.