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Finding the Fourth Proportional to 271,824.66, 375,117.68 and 150,984

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Solution

The fourth proportional to 271,824.66, 375,117.68 and 150,984 is: 208,357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,824.66 : 375,117.68 = 150,984 : x
  2. Step 2: Convert to fraction form
    271,824.66/375,117.68 = 150,984/x
  3. Step 3: Cross multiply
    271,824.66x = 375,117.68 × 150,984
  4. Step 4: Simplify right side
    271,824.66x = 56,636,768,174.58
  5. Step 5: Solve for x
    x = 56,636,768,174.58/271,824.66
  6. Step 6: Final answer
    x = 208,357.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.