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Finding the Fourth Proportional to 120,732.60, 180,969.30 and 45,823.80

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Solution

The fourth proportional to 120,732.60, 180,969.30 and 45,823.80 is: 68,686.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,732.60 : 180,969.30 = 45,823.80 : x
  2. Step 2: Convert to fraction form
    120,732.60/180,969.30 = 45,823.80/x
  3. Step 3: Cross multiply
    120,732.60x = 180,969.30 × 45,823.80
  4. Step 4: Simplify right side
    120,732.60x = 8,292,701,009.34
  5. Step 5: Solve for x
    x = 8,292,701,009.34/120,732.60
  6. Step 6: Final answer
    x = 68,686.51

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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.