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Finding the Fourth Proportional to 120,735.53, 166,632.36 and 72,339.38

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Solution

The fourth proportional to 120,735.53, 166,632.36 and 72,339.38 is: 99,838.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,735.53 : 166,632.36 = 72,339.38 : x
  2. Step 2: Convert to fraction form
    120,735.53/166,632.36 = 72,339.38/x
  3. Step 3: Cross multiply
    120,735.53x = 166,632.36 × 72,339.38
  4. Step 4: Simplify right side
    120,735.53x = 12,054,081,130.77
  5. Step 5: Solve for x
    x = 12,054,081,130.77/120,735.53
  6. Step 6: Final answer
    x = 99,838.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.