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Finding the Fourth Proportional to 264,669.36, 396,780.84 and 114,796.77

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Solution

The fourth proportional to 264,669.36, 396,780.84 and 114,796.77 is: 172,098.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,669.36 : 396,780.84 = 114,796.77 : x
  2. Step 2: Convert to fraction form
    264,669.36/396,780.84 = 114,796.77/x
  3. Step 3: Cross multiply
    264,669.36x = 396,780.84 × 114,796.77
  4. Step 4: Simplify right side
    264,669.36x = 45,549,158,829.89
  5. Step 5: Solve for x
    x = 45,549,158,829.89/264,669.36
  6. Step 6: Final answer
    x = 172,098.35

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.