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Finding the Fourth Proportional to 301,322.16, 451,662.48 and 143,216.64

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Solution

The fourth proportional to 301,322.16, 451,662.48 and 143,216.64 is: 214,672.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,322.16 : 451,662.48 = 143,216.64 : x
  2. Step 2: Convert to fraction form
    301,322.16/451,662.48 = 143,216.64/x
  3. Step 3: Cross multiply
    301,322.16x = 451,662.48 × 143,216.64
  4. Step 4: Simplify right side
    301,322.16x = 64,685,582,799.67
  5. Step 5: Solve for x
    x = 64,685,582,799.67/301,322.16
  6. Step 6: Final answer
    x = 214,672.50

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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.