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Finding the Fourth Proportional to 178,202.54, 245,919.42 and 106,582.56

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Solution

The fourth proportional to 178,202.54, 245,919.42 and 106,582.56 is: 147,083.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,202.54 : 245,919.42 = 106,582.56 : x
  2. Step 2: Convert to fraction form
    178,202.54/245,919.42 = 106,582.56/x
  3. Step 3: Cross multiply
    178,202.54x = 245,919.42 × 106,582.56
  4. Step 4: Simplify right side
    178,202.54x = 26,210,721,337.32
  5. Step 5: Solve for x
    x = 26,210,721,337.32/178,202.54
  6. Step 6: Final answer
    x = 147,083.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.