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Finding the Fourth Proportional to 214,434.24, 295,725.62 and 133,869.24

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Solution

The fourth proportional to 214,434.24, 295,725.62 and 133,869.24 is: 184,618.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,434.24 : 295,725.62 = 133,869.24 : x
  2. Step 2: Convert to fraction form
    214,434.24/295,725.62 = 133,869.24/x
  3. Step 3: Cross multiply
    214,434.24x = 295,725.62 × 133,869.24
  4. Step 4: Simplify right side
    214,434.24x = 39,588,563,997.93
  5. Step 5: Solve for x
    x = 39,588,563,997.93/214,434.24
  6. Step 6: Final answer
    x = 184,618.67

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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.