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Finding the Fourth Proportional to 271,877.48, 407,816.58 and 103,358.24

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Solution

The fourth proportional to 271,877.48, 407,816.58 and 103,358.24 is: 155,037.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,877.48 : 407,816.58 = 103,358.24 : x
  2. Step 2: Convert to fraction form
    271,877.48/407,816.58 = 103,358.24/x
  3. Step 3: Cross multiply
    271,877.48x = 407,816.58 × 103,358.24
  4. Step 4: Simplify right side
    271,877.48x = 42,151,203,951.62
  5. Step 5: Solve for x
    x = 42,151,203,951.62/271,877.48
  6. Step 6: Final answer
    x = 155,037.50

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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.