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Finding the Fourth Proportional to 271,769.09, 407,725.93 and 94,275.82

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Solution

The fourth proportional to 271,769.09, 407,725.93 and 94,275.82 is: 141,438.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,769.09 : 407,725.93 = 94,275.82 : x
  2. Step 2: Convert to fraction form
    271,769.09/407,725.93 = 94,275.82/x
  3. Step 3: Cross multiply
    271,769.09x = 407,725.93 × 94,275.82
  4. Step 4: Simplify right side
    271,769.09x = 38,438,696,386.01
  5. Step 5: Solve for x
    x = 38,438,696,386.01/271,769.09
  6. Step 6: Final answer
    x = 141,438.81

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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.