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Finding the Fourth Proportional to 264,300.98, 364,738.08 and 143,443.31

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Solution

The fourth proportional to 264,300.98, 364,738.08 and 143,443.31 is: 197,953.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,300.98 : 364,738.08 = 143,443.31 : x
  2. Step 2: Convert to fraction form
    264,300.98/364,738.08 = 143,443.31/x
  3. Step 3: Cross multiply
    264,300.98x = 364,738.08 × 143,443.31
  4. Step 4: Simplify right side
    264,300.98x = 52,319,237,478.24
  5. Step 5: Solve for x
    x = 52,319,237,478.24/264,300.98
  6. Step 6: Final answer
    x = 197,953.25

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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.