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Finding the Fourth Proportional to 255,625.38, 383,178.33 and 105,947.10

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Solution

The fourth proportional to 255,625.38, 383,178.33 and 105,947.10 is: 158,813.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,625.38 : 383,178.33 = 105,947.10 : x
  2. Step 2: Convert to fraction form
    255,625.38/383,178.33 = 105,947.10/x
  3. Step 3: Cross multiply
    255,625.38x = 383,178.33 × 105,947.10
  4. Step 4: Simplify right side
    255,625.38x = 40,596,632,846.34
  5. Step 5: Solve for x
    x = 40,596,632,846.34/255,625.38
  6. Step 6: Final answer
    x = 158,813.00

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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.