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Finding the Fourth Proportional to 178,201.80, 245,917.80 and 97,634.34

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Solution

The fourth proportional to 178,201.80, 245,917.80 and 97,634.34 is: 134,735.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,201.80 : 245,917.80 = 97,634.34 : x
  2. Step 2: Convert to fraction form
    178,201.80/245,917.80 = 97,634.34/x
  3. Step 3: Cross multiply
    178,201.80x = 245,917.80 × 97,634.34
  4. Step 4: Simplify right side
    178,201.80x = 24,010,022,097.25
  5. Step 5: Solve for x
    x = 24,010,022,097.25/178,201.80
  6. Step 6: Final answer
    x = 134,735.01

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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.