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Finding the Fourth Proportional to 142,898.52, 214,336.26 and 58,634.76

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Solution

The fourth proportional to 142,898.52, 214,336.26 and 58,634.76 is: 87,947.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,898.52 : 214,336.26 = 58,634.76 : x
  2. Step 2: Convert to fraction form
    142,898.52/214,336.26 = 58,634.76/x
  3. Step 3: Cross multiply
    142,898.52x = 214,336.26 × 58,634.76
  4. Step 4: Simplify right side
    142,898.52x = 12,567,555,164.40
  5. Step 5: Solve for x
    x = 12,567,555,164.40/142,898.52
  6. Step 6: Final answer
    x = 87,947.41

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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.