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Finding the Fourth Proportional to 329,100.54, 493,318.42 and 129,560.94

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Solution

The fourth proportional to 329,100.54, 493,318.42 and 129,560.94 is: 194,210.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    329,100.54 : 493,318.42 = 129,560.94 : x
  2. Step 2: Convert to fraction form
    329,100.54/493,318.42 = 129,560.94/x
  3. Step 3: Cross multiply
    329,100.54x = 493,318.42 × 129,560.94
  4. Step 4: Simplify right side
    329,100.54x = 63,914,798,214.51
  5. Step 5: Solve for x
    x = 63,914,798,214.51/329,100.54
  6. Step 6: Final answer
    x = 194,210.55

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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.