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Finding the Fourth Proportional to 230,852.40, 345,695.40 and 184,196.40

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Solution

The fourth proportional to 230,852.40, 345,695.40 and 184,196.40 is: 275,829.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,852.40 : 345,695.40 = 184,196.40 : x
  2. Step 2: Convert to fraction form
    230,852.40/345,695.40 = 184,196.40/x
  3. Step 3: Cross multiply
    230,852.40x = 345,695.40 × 184,196.40
  4. Step 4: Simplify right side
    230,852.40x = 63,675,848,176.56
  5. Step 5: Solve for x
    x = 63,675,848,176.56/230,852.40
  6. Step 6: Final answer
    x = 275,829.27

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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.