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Finding the Fourth Proportional to 255,962.17, 383,779.22 and 106,305.76

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Solution

The fourth proportional to 255,962.17, 383,779.22 and 106,305.76 is: 159,390.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,962.17 : 383,779.22 = 106,305.76 : x
  2. Step 2: Convert to fraction form
    255,962.17/383,779.22 = 106,305.76/x
  3. Step 3: Cross multiply
    255,962.17x = 383,779.22 × 106,305.76
  4. Step 4: Simplify right side
    255,962.17x = 40,797,941,654.31
  5. Step 5: Solve for x
    x = 40,797,941,654.31/255,962.17
  6. Step 6: Final answer
    x = 159,390.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.