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Finding the Fourth Proportional to 264,292.10, 364,723.36 and 143,433.42

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Solution

The fourth proportional to 264,292.10, 364,723.36 and 143,433.42 is: 197,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,292.10 : 364,723.36 = 143,433.42 : x
  2. Step 2: Convert to fraction form
    264,292.10/364,723.36 = 143,433.42/x
  3. Step 3: Cross multiply
    264,292.10x = 364,723.36 × 143,433.42
  4. Step 4: Simplify right side
    264,292.10x = 52,313,518,878.69
  5. Step 5: Solve for x
    x = 52,313,518,878.69/264,292.10
  6. Step 6: Final answer
    x = 197,938.26

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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.