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Finding the Fourth Proportional to 142,419, 213,675.26 and 58,249.92

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Solution

The fourth proportional to 142,419, 213,675.26 and 58,249.92 is: 87,394.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,419 : 213,675.26 = 58,249.92 : x
  2. Step 2: Convert to fraction form
    142,419/213,675.26 = 58,249.92/x
  3. Step 3: Cross multiply
    142,419x = 213,675.26 × 58,249.92
  4. Step 4: Simplify right side
    142,419x = 12,446,566,509.73
  5. Step 5: Solve for x
    x = 12,446,566,509.73/142,419
  6. Step 6: Final answer
    x = 87,394.00

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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.