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Finding the Fourth Proportional to 209,777.28, 289,460.16 and 120,336

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Solution

The fourth proportional to 209,777.28, 289,460.16 and 120,336 is: 166,045.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,777.28 : 289,460.16 = 120,336 : x
  2. Step 2: Convert to fraction form
    209,777.28/289,460.16 = 120,336/x
  3. Step 3: Cross multiply
    209,777.28x = 289,460.16 × 120,336
  4. Step 4: Simplify right side
    209,777.28x = 34,832,477,813.76
  5. Step 5: Solve for x
    x = 34,832,477,813.76/209,777.28
  6. Step 6: Final answer
    x = 166,045.04

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