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Finding the Fourth Proportional to 122,103.87, 183,182.11 and 37,862.34

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Solution

The fourth proportional to 122,103.87, 183,182.11 and 37,862.34 is: 56,801.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,103.87 : 183,182.11 = 37,862.34 : x
  2. Step 2: Convert to fraction form
    122,103.87/183,182.11 = 37,862.34/x
  3. Step 3: Cross multiply
    122,103.87x = 183,182.11 × 37,862.34
  4. Step 4: Simplify right side
    122,103.87x = 6,935,703,330.74
  5. Step 5: Solve for x
    x = 6,935,703,330.74/122,103.87
  6. Step 6: Final answer
    x = 56,801.67

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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.