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Finding the Fourth Proportional to 271,483.32, 407,360.76 and 121,830.60

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Solution

The fourth proportional to 271,483.32, 407,360.76 and 121,830.60 is: 182,806.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,483.32 : 407,360.76 = 121,830.60 : x
  2. Step 2: Convert to fraction form
    271,483.32/407,360.76 = 121,830.60/x
  3. Step 3: Cross multiply
    271,483.32x = 407,360.76 × 121,830.60
  4. Step 4: Simplify right side
    271,483.32x = 49,629,005,807.26
  5. Step 5: Solve for x
    x = 49,629,005,807.26/271,483.32
  6. Step 6: Final answer
    x = 182,806.83

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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.