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Finding the Fourth Proportional to 126,518.12, 189,780.54 and 55,404.02

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Solution

The fourth proportional to 126,518.12, 189,780.54 and 55,404.02 is: 83,107.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,518.12 : 189,780.54 = 55,404.02 : x
  2. Step 2: Convert to fraction form
    126,518.12/189,780.54 = 55,404.02/x
  3. Step 3: Cross multiply
    126,518.12x = 189,780.54 × 55,404.02
  4. Step 4: Simplify right side
    126,518.12x = 10,514,604,833.77
  5. Step 5: Solve for x
    x = 10,514,604,833.77/126,518.12
  6. Step 6: Final answer
    x = 83,107.50

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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.