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Finding the Fourth Proportional to 271,756.96, 407,661.36 and 105,557.92

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Solution

The fourth proportional to 271,756.96, 407,661.36 and 105,557.92 is: 158,346.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,756.96 : 407,661.36 = 105,557.92 : x
  2. Step 2: Convert to fraction form
    271,756.96/407,661.36 = 105,557.92/x
  3. Step 3: Cross multiply
    271,756.96x = 407,661.36 × 105,557.92
  4. Step 4: Simplify right side
    271,756.96x = 43,031,885,225.97
  5. Step 5: Solve for x
    x = 43,031,885,225.97/271,756.96
  6. Step 6: Final answer
    x = 158,346.95

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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.