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Finding the Fourth Proportional to 271,914.42, 407,881.88 and 103,403.33

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Solution

The fourth proportional to 271,914.42, 407,881.88 and 103,403.33 is: 155,108.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,914.42 : 407,881.88 = 103,403.33 : x
  2. Step 2: Convert to fraction form
    271,914.42/407,881.88 = 103,403.33/x
  3. Step 3: Cross multiply
    271,914.42x = 407,881.88 × 103,403.33
  4. Step 4: Simplify right side
    271,914.42x = 42,176,346,293.89
  5. Step 5: Solve for x
    x = 42,176,346,293.89/271,914.42
  6. Step 6: Final answer
    x = 155,108.90

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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.