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Finding the Fourth Proportional to 264,671.46, 396,784.01 and 114,798.87

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Solution

The fourth proportional to 264,671.46, 396,784.01 and 114,798.87 is: 172,101.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,671.46 : 396,784.01 = 114,798.87 : x
  2. Step 2: Convert to fraction form
    264,671.46/396,784.01 = 114,798.87/x
  3. Step 3: Cross multiply
    264,671.46x = 396,784.01 × 114,798.87
  4. Step 4: Simplify right side
    264,671.46x = 45,550,355,408.07
  5. Step 5: Solve for x
    x = 45,550,355,408.07/264,671.46
  6. Step 6: Final answer
    x = 172,101.50

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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.