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Finding the Fourth Proportional to 142,134.57, 213,156.50 and 57,894.57

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Solution

The fourth proportional to 142,134.57, 213,156.50 and 57,894.57 is: 86,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,134.57 : 213,156.50 = 57,894.57 : x
  2. Step 2: Convert to fraction form
    142,134.57/213,156.50 = 57,894.57/x
  3. Step 3: Cross multiply
    142,134.57x = 213,156.50 × 57,894.57
  4. Step 4: Simplify right side
    142,134.57x = 12,340,603,620.73
  5. Step 5: Solve for x
    x = 12,340,603,620.73/142,134.57
  6. Step 6: Final answer
    x = 86,823.38

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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.