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Finding the Fourth Proportional to 342,745.96, 514,140.72 and 106,068.76

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Solution

The fourth proportional to 342,745.96, 514,140.72 and 106,068.76 is: 159,109.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,745.96 : 514,140.72 = 106,068.76 : x
  2. Step 2: Convert to fraction form
    342,745.96/514,140.72 = 106,068.76/x
  3. Step 3: Cross multiply
    342,745.96x = 514,140.72 × 106,068.76
  4. Step 4: Simplify right side
    342,745.96x = 54,534,268,635.91
  5. Step 5: Solve for x
    x = 54,534,268,635.91/342,745.96
  6. Step 6: Final answer
    x = 159,109.88

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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.