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Finding the Fourth Proportional to 174,002.10, 261,003.15 and 114,953.10

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Solution

The fourth proportional to 174,002.10, 261,003.15 and 114,953.10 is: 172,429.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,002.10 : 261,003.15 = 114,953.10 : x
  2. Step 2: Convert to fraction form
    174,002.10/261,003.15 = 114,953.10/x
  3. Step 3: Cross multiply
    174,002.10x = 261,003.15 × 114,953.10
  4. Step 4: Simplify right side
    174,002.10x = 30,003,121,202.27
  5. Step 5: Solve for x
    x = 30,003,121,202.27/174,002.10
  6. Step 6: Final answer
    x = 172,429.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.