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Finding the Fourth Proportional to 174,612, 240,953.22 and 102,975.60

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Solution

The fourth proportional to 174,612, 240,953.22 and 102,975.60 is: 142,099.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,612 : 240,953.22 = 102,975.60 : x
  2. Step 2: Convert to fraction form
    174,612/240,953.22 = 102,975.60/x
  3. Step 3: Cross multiply
    174,612x = 240,953.22 × 102,975.60
  4. Step 4: Simplify right side
    174,612x = 24,812,302,401.43
  5. Step 5: Solve for x
    x = 24,812,302,401.43/174,612
  6. Step 6: Final answer
    x = 142,099.64

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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.