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Finding the Fourth Proportional to 174,711.40, 262,067.10 and 100,983.40

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Solution

The fourth proportional to 174,711.40, 262,067.10 and 100,983.40 is: 151,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,711.40 : 262,067.10 = 100,983.40 : x
  2. Step 2: Convert to fraction form
    174,711.40/262,067.10 = 100,983.40/x
  3. Step 3: Cross multiply
    174,711.40x = 262,067.10 × 100,983.40
  4. Step 4: Simplify right side
    174,711.40x = 26,464,426,786.14
  5. Step 5: Solve for x
    x = 26,464,426,786.14/174,711.40
  6. Step 6: Final answer
    x = 151,475.10

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Why These Related Problems?

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