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Finding the Fourth Proportional to 178,378.96, 246,142.92 and 102,952.40

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Solution

The fourth proportional to 178,378.96, 246,142.92 and 102,952.40 is: 142,062.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,378.96 : 246,142.92 = 102,952.40 : x
  2. Step 2: Convert to fraction form
    178,378.96/246,142.92 = 102,952.40/x
  3. Step 3: Cross multiply
    178,378.96x = 246,142.92 × 102,952.40
  4. Step 4: Simplify right side
    178,378.96x = 25,341,004,357.01
  5. Step 5: Solve for x
    x = 25,341,004,357.01/178,378.96
  6. Step 6: Final answer
    x = 142,062.74

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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.