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Finding the Fourth Proportional to 271,657.66, 407,394.21 and 94,123.22

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Solution

The fourth proportional to 271,657.66, 407,394.21 and 94,123.22 is: 141,152.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,657.66 : 407,394.21 = 94,123.22 : x
  2. Step 2: Convert to fraction form
    271,657.66/407,394.21 = 94,123.22/x
  3. Step 3: Cross multiply
    271,657.66x = 407,394.21 × 94,123.22
  4. Step 4: Simplify right side
    271,657.66x = 38,345,254,854.56
  5. Step 5: Solve for x
    x = 38,345,254,854.56/271,657.66
  6. Step 6: Final answer
    x = 141,152.86

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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.