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Finding the Fourth Proportional to 271,876.48, 407,815.08 and 103,357.24

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Solution

The fourth proportional to 271,876.48, 407,815.08 and 103,357.24 is: 155,036.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,876.48 : 407,815.08 = 103,357.24 : x
  2. Step 2: Convert to fraction form
    271,876.48/407,815.08 = 103,357.24/x
  3. Step 3: Cross multiply
    271,876.48x = 407,815.08 × 103,357.24
  4. Step 4: Simplify right side
    271,876.48x = 42,150,641,099.18
  5. Step 5: Solve for x
    x = 42,150,641,099.18/271,876.48
  6. Step 6: Final answer
    x = 155,036.00

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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.