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Finding the Fourth Proportional to 144,226, 198,902.60 and 120,106.84

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Solution

The fourth proportional to 144,226, 198,902.60 and 120,106.84 is: 165,639.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,226 : 198,902.60 = 120,106.84 : x
  2. Step 2: Convert to fraction form
    144,226/198,902.60 = 120,106.84/x
  3. Step 3: Cross multiply
    144,226x = 198,902.60 × 120,106.84
  4. Step 4: Simplify right side
    144,226x = 23,889,561,158.74
  5. Step 5: Solve for x
    x = 23,889,561,158.74/144,226
  6. Step 6: Final answer
    x = 165,639.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.