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Finding the Fourth Proportional to 316,651.14, 475,015.86 and 103,440.51

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Solution

The fourth proportional to 316,651.14, 475,015.86 and 103,440.51 is: 155,173.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,651.14 : 475,015.86 = 103,440.51 : x
  2. Step 2: Convert to fraction form
    316,651.14/475,015.86 = 103,440.51/x
  3. Step 3: Cross multiply
    316,651.14x = 475,015.86 × 103,440.51
  4. Step 4: Simplify right side
    316,651.14x = 49,135,882,816.49
  5. Step 5: Solve for x
    x = 49,135,882,816.49/316,651.14
  6. Step 6: Final answer
    x = 155,173.55

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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.