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Finding the Fourth Proportional to 141,409.44, 211,827.72 and 65,400

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Solution

The fourth proportional to 141,409.44, 211,827.72 and 65,400 is: 97,967.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,409.44 : 211,827.72 = 65,400 : x
  2. Step 2: Convert to fraction form
    141,409.44/211,827.72 = 65,400/x
  3. Step 3: Cross multiply
    141,409.44x = 211,827.72 × 65,400
  4. Step 4: Simplify right side
    141,409.44x = 13,853,532,888
  5. Step 5: Solve for x
    x = 13,853,532,888/141,409.44
  6. Step 6: Final answer
    x = 97,967.53

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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.