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Finding the Fourth Proportional to 264,051.80, 364,391.58 and 143,193.06

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Solution

The fourth proportional to 264,051.80, 364,391.58 and 143,193.06 is: 197,606.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,051.80 : 364,391.58 = 143,193.06 : x
  2. Step 2: Convert to fraction form
    264,051.80/364,391.58 = 143,193.06/x
  3. Step 3: Cross multiply
    264,051.80x = 364,391.58 × 143,193.06
  4. Step 4: Simplify right side
    264,051.80x = 52,178,345,378.43
  5. Step 5: Solve for x
    x = 52,178,345,378.43/264,051.80
  6. Step 6: Final answer
    x = 197,606.47

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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.