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Finding the Fourth Proportional to 343,255.68, 514,877.04 and 106,593.12

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Solution

The fourth proportional to 343,255.68, 514,877.04 and 106,593.12 is: 159,887.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,255.68 : 514,877.04 = 106,593.12 : x
  2. Step 2: Convert to fraction form
    343,255.68/514,877.04 = 106,593.12/x
  3. Step 3: Cross multiply
    343,255.68x = 514,877.04 × 106,593.12
  4. Step 4: Simplify right side
    343,255.68x = 54,882,350,109.96
  5. Step 5: Solve for x
    x = 54,882,350,109.96/343,255.68
  6. Step 6: Final answer
    x = 159,887.67

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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.