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Finding the Fourth Proportional to 255,454.44, 383,181.42 and 120,487.02

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Solution

The fourth proportional to 255,454.44, 383,181.42 and 120,487.02 is: 180,730.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,454.44 : 383,181.42 = 120,487.02 : x
  2. Step 2: Convert to fraction form
    255,454.44/383,181.42 = 120,487.02/x
  3. Step 3: Cross multiply
    255,454.44x = 383,181.42 × 120,487.02
  4. Step 4: Simplify right side
    255,454.44x = 46,168,387,415.17
  5. Step 5: Solve for x
    x = 46,168,387,415.17/255,454.44
  6. Step 6: Final answer
    x = 180,730.42

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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.