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Finding the Fourth Proportional to 255,994.40, 383,247.91 and 149,052.12

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Solution

The fourth proportional to 255,994.40, 383,247.91 and 149,052.12 is: 223,145.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,994.40 : 383,247.91 = 149,052.12 : x
  2. Step 2: Convert to fraction form
    255,994.40/383,247.91 = 149,052.12/x
  3. Step 3: Cross multiply
    255,994.40x = 383,247.91 × 149,052.12
  4. Step 4: Simplify right side
    255,994.40x = 57,123,913,471.07
  5. Step 5: Solve for x
    x = 57,123,913,471.07/255,994.40
  6. Step 6: Final answer
    x = 223,145.17

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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.