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Finding the Fourth Proportional to 302,759.10, 454,138.65 and 144,906.30

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Solution

The fourth proportional to 302,759.10, 454,138.65 and 144,906.30 is: 217,359.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,759.10 : 454,138.65 = 144,906.30 : x
  2. Step 2: Convert to fraction form
    302,759.10/454,138.65 = 144,906.30/x
  3. Step 3: Cross multiply
    302,759.10x = 454,138.65 × 144,906.30
  4. Step 4: Simplify right side
    302,759.10x = 65,807,551,458.50
  5. Step 5: Solve for x
    x = 65,807,551,458.50/302,759.10
  6. Step 6: Final answer
    x = 217,359.45

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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.