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Finding the Fourth Proportional to 264,322.56, 364,765.48 and 143,463.84

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Solution

The fourth proportional to 264,322.56, 364,765.48 and 143,463.84 is: 197,980.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,322.56 : 364,765.48 = 143,463.84 : x
  2. Step 2: Convert to fraction form
    264,322.56/364,765.48 = 143,463.84/x
  3. Step 3: Cross multiply
    264,322.56x = 364,765.48 × 143,463.84
  4. Step 4: Simplify right side
    264,322.56x = 52,330,656,460.24
  5. Step 5: Solve for x
    x = 52,330,656,460.24/264,322.56
  6. Step 6: Final answer
    x = 197,980.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.