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Finding the Fourth Proportional to 214,461.72, 295,763.52 and 133,896.72

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Solution

The fourth proportional to 214,461.72, 295,763.52 and 133,896.72 is: 184,656.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,461.72 : 295,763.52 = 133,896.72 : x
  2. Step 2: Convert to fraction form
    214,461.72/295,763.52 = 133,896.72/x
  3. Step 3: Cross multiply
    214,461.72x = 295,763.52 × 133,896.72
  4. Step 4: Simplify right side
    214,461.72x = 39,601,765,223.65
  5. Step 5: Solve for x
    x = 39,601,765,223.65/214,461.72
  6. Step 6: Final answer
    x = 184,656.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.