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Finding the Fourth Proportional to 271,877.98, 407,817.33 and 103,358.74

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Solution

The fourth proportional to 271,877.98, 407,817.33 and 103,358.74 is: 155,038.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,877.98 : 407,817.33 = 103,358.74 : x
  2. Step 2: Convert to fraction form
    271,877.98/407,817.33 = 103,358.74/x
  3. Step 3: Cross multiply
    271,877.98x = 407,817.33 × 103,358.74
  4. Step 4: Simplify right side
    271,877.98x = 42,151,485,378.96
  5. Step 5: Solve for x
    x = 42,151,485,378.96/271,877.98
  6. Step 6: Final answer
    x = 155,038.25

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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.