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Finding the Fourth Proportional to 171,809.81, 257,722.81 and 141,768.32

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Solution

The fourth proportional to 171,809.81, 257,722.81 and 141,768.32 is: 212,659.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,809.81 : 257,722.81 = 141,768.32 : x
  2. Step 2: Convert to fraction form
    171,809.81/257,722.81 = 141,768.32/x
  3. Step 3: Cross multiply
    171,809.81x = 257,722.81 × 141,768.32
  4. Step 4: Simplify right side
    171,809.81x = 36,536,930,089.27
  5. Step 5: Solve for x
    x = 36,536,930,089.27/171,809.81
  6. Step 6: Final answer
    x = 212,659.17

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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.