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Finding the Fourth Proportional to 313,303.31, 469,931.61 and 100,093.75

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Solution

The fourth proportional to 313,303.31, 469,931.61 and 100,093.75 is: 150,133.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,303.31 : 469,931.61 = 100,093.75 : x
  2. Step 2: Convert to fraction form
    313,303.31/469,931.61 = 100,093.75/x
  3. Step 3: Cross multiply
    313,303.31x = 469,931.61 × 100,093.75
  4. Step 4: Simplify right side
    313,303.31x = 47,037,218,932.33
  5. Step 5: Solve for x
    x = 47,037,218,932.33/313,303.31
  6. Step 6: Final answer
    x = 150,133.17

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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.