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Finding the Fourth Proportional to 123,830.92, 170,887.38 and 67,242.76

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Solution

The fourth proportional to 123,830.92, 170,887.38 and 67,242.76 is: 92,795.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,830.92 : 170,887.38 = 67,242.76 : x
  2. Step 2: Convert to fraction form
    123,830.92/170,887.38 = 67,242.76/x
  3. Step 3: Cross multiply
    123,830.92x = 170,887.38 × 67,242.76
  4. Step 4: Simplify right side
    123,830.92x = 11,490,939,080.37
  5. Step 5: Solve for x
    x = 11,490,939,080.37/123,830.92
  6. Step 6: Final answer
    x = 92,795.39

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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.