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Finding the Fourth Proportional to 271,655.35, 407,390.74 and 94,120.93

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Solution

The fourth proportional to 271,655.35, 407,390.74 and 94,120.93 is: 141,149.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,655.35 : 407,390.74 = 94,120.93 : x
  2. Step 2: Convert to fraction form
    271,655.35/407,390.74 = 94,120.93/x
  3. Step 3: Cross multiply
    271,655.35x = 407,390.74 × 94,120.93
  4. Step 4: Simplify right side
    271,655.35x = 38,343,995,322.19
  5. Step 5: Solve for x
    x = 38,343,995,322.19/271,655.35
  6. Step 6: Final answer
    x = 141,149.42

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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.