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Finding the Fourth Proportional to 120,534.67, 180,835.86 and 44,632.06

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Solution

The fourth proportional to 120,534.67, 180,835.86 and 44,632.06 is: 66,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,534.67 : 180,835.86 = 44,632.06 : x
  2. Step 2: Convert to fraction form
    120,534.67/180,835.86 = 44,632.06/x
  3. Step 3: Cross multiply
    120,534.67x = 180,835.86 × 44,632.06
  4. Step 4: Simplify right side
    120,534.67x = 8,071,076,953.67
  5. Step 5: Solve for x
    x = 8,071,076,953.67/120,534.67
  6. Step 6: Final answer
    x = 66,960.63

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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.