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Finding the Fourth Proportional to 139,632.80, 209,218.80 and 118,896.80

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Solution

The fourth proportional to 139,632.80, 209,218.80 and 118,896.80 is: 178,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,632.80 : 209,218.80 = 118,896.80 : x
  2. Step 2: Convert to fraction form
    139,632.80/209,218.80 = 118,896.80/x
  3. Step 3: Cross multiply
    139,632.80x = 209,218.80 × 118,896.80
  4. Step 4: Simplify right side
    139,632.80x = 24,875,445,819.84
  5. Step 5: Solve for x
    x = 24,875,445,819.84/139,632.80
  6. Step 6: Final answer
    x = 178,149.02

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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.