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Finding the Fourth Proportional to 213,015.72, 295,204.35 and 210,009

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Solution

The fourth proportional to 213,015.72, 295,204.35 and 210,009 is: 291,037.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,015.72 : 295,204.35 = 210,009 : x
  2. Step 2: Convert to fraction form
    213,015.72/295,204.35 = 210,009/x
  3. Step 3: Cross multiply
    213,015.72x = 295,204.35 × 210,009
  4. Step 4: Simplify right side
    213,015.72x = 61,995,570,339.15
  5. Step 5: Solve for x
    x = 61,995,570,339.15/213,015.72
  6. Step 6: Final answer
    x = 291,037.54

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These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.