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Finding the Fourth Proportional to 344,077.16, 516,117.48 and 107,400

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Solution

The fourth proportional to 344,077.16, 516,117.48 and 107,400 is: 161,100.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,077.16 : 516,117.48 = 107,400 : x
  2. Step 2: Convert to fraction form
    344,077.16/516,117.48 = 107,400/x
  3. Step 3: Cross multiply
    344,077.16x = 516,117.48 × 107,400
  4. Step 4: Simplify right side
    344,077.16x = 55,431,017,352
  5. Step 5: Solve for x
    x = 55,431,017,352/344,077.16
  6. Step 6: Final answer
    x = 161,100.54

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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.