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Finding the Fourth Proportional to 145,722.70, 201,093.40 and 82,059.13

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Solution

The fourth proportional to 145,722.70, 201,093.40 and 82,059.13 is: 113,239.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,722.70 : 201,093.40 = 82,059.13 : x
  2. Step 2: Convert to fraction form
    145,722.70/201,093.40 = 82,059.13/x
  3. Step 3: Cross multiply
    145,722.70x = 201,093.40 × 82,059.13
  4. Step 4: Simplify right side
    145,722.70x = 16,501,549,452.74
  5. Step 5: Solve for x
    x = 16,501,549,452.74/145,722.70
  6. Step 6: Final answer
    x = 113,239.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.