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Finding the Fourth Proportional to 280,241.78, 386,730.44 and 152,919.50

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Solution

The fourth proportional to 280,241.78, 386,730.44 and 152,919.50 is: 211,027.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,241.78 : 386,730.44 = 152,919.50 : x
  2. Step 2: Convert to fraction form
    280,241.78/386,730.44 = 152,919.50/x
  3. Step 3: Cross multiply
    280,241.78x = 386,730.44 × 152,919.50
  4. Step 4: Simplify right side
    280,241.78x = 59,138,625,519.58
  5. Step 5: Solve for x
    x = 59,138,625,519.58/280,241.78
  6. Step 6: Final answer
    x = 211,027.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.