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Finding the Fourth Proportional to 264,530.81, 365,055.16 and 143,674.46

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Solution

The fourth proportional to 264,530.81, 365,055.16 and 143,674.46 is: 198,272.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,530.81 : 365,055.16 = 143,674.46 : x
  2. Step 2: Convert to fraction form
    264,530.81/365,055.16 = 143,674.46/x
  3. Step 3: Cross multiply
    264,530.81x = 365,055.16 × 143,674.46
  4. Step 4: Simplify right side
    264,530.81x = 52,449,102,983.21
  5. Step 5: Solve for x
    x = 52,449,102,983.21/264,530.81
  6. Step 6: Final answer
    x = 198,272.19

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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.