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Finding the Fourth Proportional to 255,812.36, 383,554.53 and 106,155.95

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Solution

The fourth proportional to 255,812.36, 383,554.53 and 106,155.95 is: 159,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,812.36 : 383,554.53 = 106,155.95 : x
  2. Step 2: Convert to fraction form
    255,812.36/383,554.53 = 106,155.95/x
  3. Step 3: Cross multiply
    255,812.36x = 383,554.53 × 106,155.95
  4. Step 4: Simplify right side
    255,812.36x = 40,716,593,591.18
  5. Step 5: Solve for x
    x = 40,716,593,591.18/255,812.36
  6. Step 6: Final answer
    x = 159,165.86

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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.