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Finding the Fourth Proportional to 344,098.80, 516,147.96 and 107,461.76

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Solution

The fourth proportional to 344,098.80, 516,147.96 and 107,461.76 is: 161,192.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,098.80 : 516,147.96 = 107,461.76 : x
  2. Step 2: Convert to fraction form
    344,098.80/516,147.96 = 107,461.76/x
  3. Step 3: Cross multiply
    344,098.80x = 516,147.96 × 107,461.76
  4. Step 4: Simplify right side
    344,098.80x = 55,466,168,202.01
  5. Step 5: Solve for x
    x = 55,466,168,202.01/344,098.80
  6. Step 6: Final answer
    x = 161,192.57

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1.5x scale

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.