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Finding the Fourth Proportional to 273,052.79, 409,513.46 and 83,514.81

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Solution

The fourth proportional to 273,052.79, 409,513.46 and 83,514.81 is: 125,252.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,052.79 : 409,513.46 = 83,514.81 : x
  2. Step 2: Convert to fraction form
    273,052.79/409,513.46 = 83,514.81/x
  3. Step 3: Cross multiply
    273,052.79x = 409,513.46 × 83,514.81
  4. Step 4: Simplify right side
    273,052.79x = 34,200,438,804.34
  5. Step 5: Solve for x
    x = 34,200,438,804.34/273,052.79
  6. Step 6: Final answer
    x = 125,252.11

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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.