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Finding the Fourth Proportional to 343,102.60, 514,674.06 and 132,741.64

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Solution

The fourth proportional to 343,102.60, 514,674.06 and 132,741.64 is: 199,120.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,102.60 : 514,674.06 = 132,741.64 : x
  2. Step 2: Convert to fraction form
    343,102.60/514,674.06 = 132,741.64/x
  3. Step 3: Cross multiply
    343,102.60x = 514,674.06 × 132,741.64
  4. Step 4: Simplify right side
    343,102.60x = 68,318,678,789.86
  5. Step 5: Solve for x
    x = 68,318,678,789.86/343,102.60
  6. Step 6: Final answer
    x = 199,120.26

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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.