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Finding the Fourth Proportional to 120,733.60, 180,970.80 and 45,824.80

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Solution

The fourth proportional to 120,733.60, 180,970.80 and 45,824.80 is: 68,688.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,733.60 : 180,970.80 = 45,824.80 : x
  2. Step 2: Convert to fraction form
    120,733.60/180,970.80 = 45,824.80/x
  3. Step 3: Cross multiply
    120,733.60x = 180,970.80 × 45,824.80
  4. Step 4: Simplify right side
    120,733.60x = 8,292,950,715.84
  5. Step 5: Solve for x
    x = 8,292,950,715.84/120,733.60
  6. Step 6: Final answer
    x = 68,688.01

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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.