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Finding the Fourth Proportional to 120,980.52, 181,477.94 and 36,743.49

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Solution

The fourth proportional to 120,980.52, 181,477.94 and 36,743.49 is: 55,117.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,980.52 : 181,477.94 = 36,743.49 : x
  2. Step 2: Convert to fraction form
    120,980.52/181,477.94 = 36,743.49/x
  3. Step 3: Cross multiply
    120,980.52x = 181,477.94 × 36,743.49
  4. Step 4: Simplify right side
    120,980.52x = 6,668,132,689.89
  5. Step 5: Solve for x
    x = 6,668,132,689.89/120,980.52
  6. Step 6: Final answer
    x = 55,117.41

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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.