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Finding the Fourth Proportional to 147,594.84, 203,589.90 and 105,167.04

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Solution

The fourth proportional to 147,594.84, 203,589.90 and 105,167.04 is: 145,065.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,594.84 : 203,589.90 = 105,167.04 : x
  2. Step 2: Convert to fraction form
    147,594.84/203,589.90 = 105,167.04/x
  3. Step 3: Cross multiply
    147,594.84x = 203,589.90 × 105,167.04
  4. Step 4: Simplify right side
    147,594.84x = 21,410,947,156.90
  5. Step 5: Solve for x
    x = 21,410,947,156.90/147,594.84
  6. Step 6: Final answer
    x = 145,065.69

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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.