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Finding the Fourth Proportional to 255,443.94, 383,165.67 and 120,476.52

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Solution

The fourth proportional to 255,443.94, 383,165.67 and 120,476.52 is: 180,714.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,443.94 : 383,165.67 = 120,476.52 : x
  2. Step 2: Convert to fraction form
    255,443.94/383,165.67 = 120,476.52/x
  3. Step 3: Cross multiply
    255,443.94x = 383,165.67 × 120,476.52
  4. Step 4: Simplify right side
    255,443.94x = 46,162,466,505.07
  5. Step 5: Solve for x
    x = 46,162,466,505.07/255,443.94
  6. Step 6: Final answer
    x = 180,714.67

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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.