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Finding the Fourth Proportional to 120,932.69, 181,400.87 and 46,056.98

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Solution

The fourth proportional to 120,932.69, 181,400.87 and 46,056.98 is: 69,086.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,932.69 : 181,400.87 = 46,056.98 : x
  2. Step 2: Convert to fraction form
    120,932.69/181,400.87 = 46,056.98/x
  3. Step 3: Cross multiply
    120,932.69x = 181,400.87 × 46,056.98
  4. Step 4: Simplify right side
    120,932.69x = 8,354,775,334.57
  5. Step 5: Solve for x
    x = 8,354,775,334.57/120,932.69
  6. Step 6: Final answer
    x = 69,086.16

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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.