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Finding the Fourth Proportional to 145,964.70, 218,947.01 and 35,156.70

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Solution

The fourth proportional to 145,964.70, 218,947.01 and 35,156.70 is: 52,735.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,964.70 : 218,947.01 = 35,156.70 : x
  2. Step 2: Convert to fraction form
    145,964.70/218,947.01 = 35,156.70/x
  3. Step 3: Cross multiply
    145,964.70x = 218,947.01 × 35,156.70
  4. Step 4: Simplify right side
    145,964.70x = 7,697,454,170.68
  5. Step 5: Solve for x
    x = 7,697,454,170.68/145,964.70
  6. Step 6: Final answer
    x = 52,735.04

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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.