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Finding the Fourth Proportional to 305,591.39, 458,106.44 and 105,772.02

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Solution

The fourth proportional to 305,591.39, 458,106.44 and 105,772.02 is: 158,560.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,591.39 : 458,106.44 = 105,772.02 : x
  2. Step 2: Convert to fraction form
    305,591.39/458,106.44 = 105,772.02/x
  3. Step 3: Cross multiply
    305,591.39x = 458,106.44 × 105,772.02
  4. Step 4: Simplify right side
    305,591.39x = 48,454,843,004.95
  5. Step 5: Solve for x
    x = 48,454,843,004.95/305,591.39
  6. Step 6: Final answer
    x = 158,560.89

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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.