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Finding the Fourth Proportional to 148,602.05, 205,150.38 and 114,535.88

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Solution

The fourth proportional to 148,602.05, 205,150.38 and 114,535.88 is: 158,120.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,602.05 : 205,150.38 = 114,535.88 : x
  2. Step 2: Convert to fraction form
    148,602.05/205,150.38 = 114,535.88/x
  3. Step 3: Cross multiply
    148,602.05x = 205,150.38 × 114,535.88
  4. Step 4: Simplify right side
    148,602.05x = 23,497,079,305.63
  5. Step 5: Solve for x
    x = 23,497,079,305.63/148,602.05
  6. Step 6: Final answer
    x = 158,120.83

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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.