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Finding the Fourth Proportional to 144,911.64, 199,956.42 and 82,817.52

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Solution

The fourth proportional to 144,911.64, 199,956.42 and 82,817.52 is: 114,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,911.64 : 199,956.42 = 82,817.52 : x
  2. Step 2: Convert to fraction form
    144,911.64/199,956.42 = 82,817.52/x
  3. Step 3: Cross multiply
    144,911.64x = 199,956.42 × 82,817.52
  4. Step 4: Simplify right side
    144,911.64x = 16,559,894,812.48
  5. Step 5: Solve for x
    x = 16,559,894,812.48/144,911.64
  6. Step 6: Final answer
    x = 114,275.81

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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.