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Finding the Fourth Proportional to 289,385.32, 434,170.14 and 123,220.84

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Solution

The fourth proportional to 289,385.32, 434,170.14 and 123,220.84 is: 184,870.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,385.32 : 434,170.14 = 123,220.84 : x
  2. Step 2: Convert to fraction form
    289,385.32/434,170.14 = 123,220.84/x
  3. Step 3: Cross multiply
    289,385.32x = 434,170.14 × 123,220.84
  4. Step 4: Simplify right side
    289,385.32x = 53,498,809,353.72
  5. Step 5: Solve for x
    x = 53,498,809,353.72/289,385.32
  6. Step 6: Final answer
    x = 184,870.50

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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.