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Finding the Fourth Proportional to 101,567.52, 152,408.88 and 54,819.36

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Solution

The fourth proportional to 101,567.52, 152,408.88 and 54,819.36 is: 82,260.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,567.52 : 152,408.88 = 54,819.36 : x
  2. Step 2: Convert to fraction form
    101,567.52/152,408.88 = 54,819.36/x
  3. Step 3: Cross multiply
    101,567.52x = 152,408.88 × 54,819.36
  4. Step 4: Simplify right side
    101,567.52x = 8,354,957,259.92
  5. Step 5: Solve for x
    x = 8,354,957,259.92/101,567.52
  6. Step 6: Final answer
    x = 82,260.13

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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.