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Finding the Fourth Proportional to 361,419.36, 542,123.64 and 112,101.36

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Solution

The fourth proportional to 361,419.36, 542,123.64 and 112,101.36 is: 168,150.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,419.36 : 542,123.64 = 112,101.36 : x
  2. Step 2: Convert to fraction form
    361,419.36/542,123.64 = 112,101.36/x
  3. Step 3: Cross multiply
    361,419.36x = 542,123.64 × 112,101.36
  4. Step 4: Simplify right side
    361,419.36x = 60,772,797,332.15
  5. Step 5: Solve for x
    x = 60,772,797,332.15/361,419.36
  6. Step 6: Final answer
    x = 168,150.37

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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.