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Finding the Fourth Proportional to 301,341.56, 451,837.32 and 114,251

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Solution

The fourth proportional to 301,341.56, 451,837.32 and 114,251 is: 171,310.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,341.56 : 451,837.32 = 114,251 : x
  2. Step 2: Convert to fraction form
    301,341.56/451,837.32 = 114,251/x
  3. Step 3: Cross multiply
    301,341.56x = 451,837.32 × 114,251
  4. Step 4: Simplify right side
    301,341.56x = 51,622,865,647.32
  5. Step 5: Solve for x
    x = 51,622,865,647.32/301,341.56
  6. Step 6: Final answer
    x = 171,310.14

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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.