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Finding the Fourth Proportional to 120,594.87, 180,893.12 and 36,355.28

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Solution

The fourth proportional to 120,594.87, 180,893.12 and 36,355.28 is: 54,533.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,594.87 : 180,893.12 = 36,355.28 : x
  2. Step 2: Convert to fraction form
    120,594.87/180,893.12 = 36,355.28/x
  3. Step 3: Cross multiply
    120,594.87x = 180,893.12 × 36,355.28
  4. Step 4: Simplify right side
    120,594.87x = 6,576,418,941.43
  5. Step 5: Solve for x
    x = 6,576,418,941.43/120,594.87
  6. Step 6: Final answer
    x = 54,533.16

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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.