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Finding the Fourth Proportional to 286,753.25, 430,181.85 and 118,179.83

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Solution

The fourth proportional to 286,753.25, 430,181.85 and 118,179.83 is: 177,291.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,753.25 : 430,181.85 = 118,179.83 : x
  2. Step 2: Convert to fraction form
    286,753.25/430,181.85 = 118,179.83/x
  3. Step 3: Cross multiply
    286,753.25x = 430,181.85 × 118,179.83
  4. Step 4: Simplify right side
    286,753.25x = 50,838,817,902.09
  5. Step 5: Solve for x
    x = 50,838,817,902.09/286,753.25
  6. Step 6: Final answer
    x = 177,291.17

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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.