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Finding the Fourth Proportional to 271,915.74, 407,873.73 and 103,397.16

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Solution

The fourth proportional to 271,915.74, 407,873.73 and 103,397.16 is: 155,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,915.74 : 407,873.73 = 103,397.16 : x
  2. Step 2: Convert to fraction form
    271,915.74/407,873.73 = 103,397.16/x
  3. Step 3: Cross multiply
    271,915.74x = 407,873.73 × 103,397.16
  4. Step 4: Simplify right side
    271,915.74x = 42,172,985,320.61
  5. Step 5: Solve for x
    x = 42,172,985,320.61/271,915.74
  6. Step 6: Final answer
    x = 155,095.79

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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.