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Finding the Fourth Proportional to 142,394.92, 213,424.71 and 58,102.48

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Solution

The fourth proportional to 142,394.92, 213,424.71 and 58,102.48 is: 87,085.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,394.92 : 213,424.71 = 58,102.48 : x
  2. Step 2: Convert to fraction form
    142,394.92/213,424.71 = 58,102.48/x
  3. Step 3: Cross multiply
    142,394.92x = 213,424.71 × 58,102.48
  4. Step 4: Simplify right side
    142,394.92x = 12,400,504,944.28
  5. Step 5: Solve for x
    x = 12,400,504,944.28/142,394.92
  6. Step 6: Final answer
    x = 87,085.30

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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.