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Finding the Fourth Proportional to 203,627.80, 306,097.80 and 144,870.40

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Solution

The fourth proportional to 203,627.80, 306,097.80 and 144,870.40 is: 217,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,627.80 : 306,097.80 = 144,870.40 : x
  2. Step 2: Convert to fraction form
    203,627.80/306,097.80 = 144,870.40/x
  3. Step 3: Cross multiply
    203,627.80x = 306,097.80 × 144,870.40
  4. Step 4: Simplify right side
    203,627.80x = 44,344,510,725.12
  5. Step 5: Solve for x
    x = 44,344,510,725.12/203,627.80
  6. Step 6: Final answer
    x = 217,772.38

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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.