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Finding the Fourth Proportional to 230,856.40, 345,701.40 and 184,200.40

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Solution

The fourth proportional to 230,856.40, 345,701.40 and 184,200.40 is: 275,835.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,856.40 : 345,701.40 = 184,200.40 : x
  2. Step 2: Convert to fraction form
    230,856.40/345,701.40 = 184,200.40/x
  3. Step 3: Cross multiply
    230,856.40x = 345,701.40 × 184,200.40
  4. Step 4: Simplify right side
    230,856.40x = 63,678,336,160.56
  5. Step 5: Solve for x
    x = 63,678,336,160.56/230,856.40
  6. Step 6: Final answer
    x = 275,835.26

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.