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Finding the Fourth Proportional to 264,309.42, 364,747.36 and 143,450.71

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Solution

The fourth proportional to 264,309.42, 364,747.36 and 143,450.71 is: 197,962.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,309.42 : 364,747.36 = 143,450.71 : x
  2. Step 2: Convert to fraction form
    264,309.42/364,747.36 = 143,450.71/x
  3. Step 3: Cross multiply
    264,309.42x = 364,747.36 × 143,450.71
  4. Step 4: Simplify right side
    264,309.42x = 52,323,266,761.10
  5. Step 5: Solve for x
    x = 52,323,266,761.10/264,309.42
  6. Step 6: Final answer
    x = 197,962.17

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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.