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Finding the Fourth Proportional to 227,294.35, 313,703.16 and 136,741.84

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Solution

The fourth proportional to 227,294.35, 313,703.16 and 136,741.84 is: 188,725.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,294.35 : 313,703.16 = 136,741.84 : x
  2. Step 2: Convert to fraction form
    227,294.35/313,703.16 = 136,741.84/x
  3. Step 3: Cross multiply
    227,294.35x = 313,703.16 × 136,741.84
  4. Step 4: Simplify right side
    227,294.35x = 42,896,347,312.21
  5. Step 5: Solve for x
    x = 42,896,347,312.21/227,294.35
  6. Step 6: Final answer
    x = 188,725.97

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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.