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Finding the Fourth Proportional to 130,548.70, 180,142.95 and 76,850.56

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Solution

The fourth proportional to 130,548.70, 180,142.95 and 76,850.56 is: 106,045.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,548.70 : 180,142.95 = 76,850.56 : x
  2. Step 2: Convert to fraction form
    130,548.70/180,142.95 = 76,850.56/x
  3. Step 3: Cross multiply
    130,548.70x = 180,142.95 × 76,850.56
  4. Step 4: Simplify right side
    130,548.70x = 13,844,086,587.55
  5. Step 5: Solve for x
    x = 13,844,086,587.55/130,548.70
  6. Step 6: Final answer
    x = 106,045.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.