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Finding the Fourth Proportional to 125,897.76, 188,890.36 and 55,826.24

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Solution

The fourth proportional to 125,897.76, 188,890.36 and 55,826.24 is: 83,758.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,897.76 : 188,890.36 = 55,826.24 : x
  2. Step 2: Convert to fraction form
    125,897.76/188,890.36 = 55,826.24/x
  3. Step 3: Cross multiply
    125,897.76x = 188,890.36 × 55,826.24
  4. Step 4: Simplify right side
    125,897.76x = 10,545,038,571.05
  5. Step 5: Solve for x
    x = 10,545,038,571.05/125,897.76
  6. Step 6: Final answer
    x = 83,758.75

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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.