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Finding the Fourth Proportional to 170,944, 235,902.14 and 94,460.96

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Solution

The fourth proportional to 170,944, 235,902.14 and 94,460.96 is: 130,355.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,944 : 235,902.14 = 94,460.96 : x
  2. Step 2: Convert to fraction form
    170,944/235,902.14 = 94,460.96/x
  3. Step 3: Cross multiply
    170,944x = 235,902.14 × 94,460.96
  4. Step 4: Simplify right side
    170,944x = 22,283,542,610.45
  5. Step 5: Solve for x
    x = 22,283,542,610.45/170,944
  6. Step 6: Final answer
    x = 130,355.80

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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.