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Finding the Fourth Proportional to 131,516.84, 197,275.26 and 122,069

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Solution

The fourth proportional to 131,516.84, 197,275.26 and 122,069 is: 183,103.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,516.84 : 197,275.26 = 122,069 : x
  2. Step 2: Convert to fraction form
    131,516.84/197,275.26 = 122,069/x
  3. Step 3: Cross multiply
    131,516.84x = 197,275.26 × 122,069
  4. Step 4: Simplify right side
    131,516.84x = 24,081,193,712.94
  5. Step 5: Solve for x
    x = 24,081,193,712.94/131,516.84
  6. Step 6: Final answer
    x = 183,103.50

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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.