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Finding the Fourth Proportional to 207,122.69, 285,826.60 and 116,478.63

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Solution

The fourth proportional to 207,122.69, 285,826.60 and 116,478.63 is: 160,738.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,122.69 : 285,826.60 = 116,478.63 : x
  2. Step 2: Convert to fraction form
    207,122.69/285,826.60 = 116,478.63/x
  3. Step 3: Cross multiply
    207,122.69x = 285,826.60 × 116,478.63
  4. Step 4: Simplify right side
    207,122.69x = 33,292,688,774.03
  5. Step 5: Solve for x
    x = 33,292,688,774.03/207,122.69
  6. Step 6: Final answer
    x = 160,738.97

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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.