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Finding the Fourth Proportional to 178,189.68, 245,608.92 and 142,316.40

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Solution

The fourth proportional to 178,189.68, 245,608.92 and 142,316.40 is: 196,162.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,189.68 : 245,608.92 = 142,316.40 : x
  2. Step 2: Convert to fraction form
    178,189.68/245,608.92 = 142,316.40/x
  3. Step 3: Cross multiply
    178,189.68x = 245,608.92 × 142,316.40
  4. Step 4: Simplify right side
    178,189.68x = 34,954,177,302.29
  5. Step 5: Solve for x
    x = 34,954,177,302.29/178,189.68
  6. Step 6: Final answer
    x = 196,162.75

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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.