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Finding the Fourth Proportional to 170,808, 235,777.94 and 102,828.14

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Solution

The fourth proportional to 170,808, 235,777.94 and 102,828.14 is: 141,940.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,808 : 235,777.94 = 102,828.14 : x
  2. Step 2: Convert to fraction form
    170,808/235,777.94 = 102,828.14/x
  3. Step 3: Cross multiply
    170,808x = 235,777.94 × 102,828.14
  4. Step 4: Simplify right side
    170,808x = 24,244,607,023.23
  5. Step 5: Solve for x
    x = 24,244,607,023.23/170,808
  6. Step 6: Final answer
    x = 141,940.70

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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.