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Finding the Fourth Proportional to 264,598.64, 396,952.56 and 87,116.24

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Solution

The fourth proportional to 264,598.64, 396,952.56 and 87,116.24 is: 130,692.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,598.64 : 396,952.56 = 87,116.24 : x
  2. Step 2: Convert to fraction form
    264,598.64/396,952.56 = 87,116.24/x
  3. Step 3: Cross multiply
    264,598.64x = 396,952.56 × 87,116.24
  4. Step 4: Simplify right side
    264,598.64x = 34,581,014,485.57
  5. Step 5: Solve for x
    x = 34,581,014,485.57/264,598.64
  6. Step 6: Final answer
    x = 130,692.34

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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.