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Finding the Fourth Proportional to 121,364.34, 180,724.38 and 120,037.80

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Solution

The fourth proportional to 121,364.34, 180,724.38 and 120,037.80 is: 178,749.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,364.34 : 180,724.38 = 120,037.80 : x
  2. Step 2: Convert to fraction form
    121,364.34/180,724.38 = 120,037.80/x
  3. Step 3: Cross multiply
    121,364.34x = 180,724.38 × 120,037.80
  4. Step 4: Simplify right side
    121,364.34x = 21,693,756,981.56
  5. Step 5: Solve for x
    x = 21,693,756,981.56/121,364.34
  6. Step 6: Final answer
    x = 178,749.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.