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Finding the Fourth Proportional to 271,783.06, 375,070.26 and 150,926.40

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Solution

The fourth proportional to 271,783.06, 375,070.26 and 150,926.40 is: 208,283.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,783.06 : 375,070.26 = 150,926.40 : x
  2. Step 2: Convert to fraction form
    271,783.06/375,070.26 = 150,926.40/x
  3. Step 3: Cross multiply
    271,783.06x = 375,070.26 × 150,926.40
  4. Step 4: Simplify right side
    271,783.06x = 56,608,004,654.84
  5. Step 5: Solve for x
    x = 56,608,004,654.84/271,783.06
  6. Step 6: Final answer
    x = 208,283.79

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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.