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Finding the Fourth Proportional to 171,363.06, 257,210.64 and 82,678.86

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Solution

The fourth proportional to 171,363.06, 257,210.64 and 82,678.86 is: 124,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,363.06 : 257,210.64 = 82,678.86 : x
  2. Step 2: Convert to fraction form
    171,363.06/257,210.64 = 82,678.86/x
  3. Step 3: Cross multiply
    171,363.06x = 257,210.64 × 82,678.86
  4. Step 4: Simplify right side
    171,363.06x = 21,265,882,495.07
  5. Step 5: Solve for x
    x = 21,265,882,495.07/171,363.06
  6. Step 6: Final answer
    x = 124,098.41

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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.