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Finding the Fourth Proportional to 264,319.86, 364,762.50 and 143,461.32

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Solution

The fourth proportional to 264,319.86, 364,762.50 and 143,461.32 is: 197,977.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,319.86 : 364,762.50 = 143,461.32 : x
  2. Step 2: Convert to fraction form
    264,319.86/364,762.50 = 143,461.32/x
  3. Step 3: Cross multiply
    264,319.86x = 364,762.50 × 143,461.32
  4. Step 4: Simplify right side
    264,319.86x = 52,329,309,736.50
  5. Step 5: Solve for x
    x = 52,329,309,736.50/264,319.86
  6. Step 6: Final answer
    x = 197,977.21

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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.