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Finding the Fourth Proportional to 120,574.37, 180,848.77 and 49,504.50

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Solution

The fourth proportional to 120,574.37, 180,848.77 and 49,504.50 is: 74,251.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,574.37 : 180,848.77 = 49,504.50 : x
  2. Step 2: Convert to fraction form
    120,574.37/180,848.77 = 49,504.50/x
  3. Step 3: Cross multiply
    120,574.37x = 180,848.77 × 49,504.50
  4. Step 4: Simplify right side
    120,574.37x = 8,952,827,810.70
  5. Step 5: Solve for x
    x = 8,952,827,810.70/120,574.37
  6. Step 6: Final answer
    x = 74,251.50

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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.