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Finding the Fourth Proportional to 144,953.30, 217,429.95 and 144,953.30

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Solution

The fourth proportional to 144,953.30, 217,429.95 and 144,953.30 is: 217,429.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,953.30 : 217,429.95 = 144,953.30 : x
  2. Step 2: Convert to fraction form
    144,953.30/217,429.95 = 144,953.30/x
  3. Step 3: Cross multiply
    144,953.30x = 217,429.95 × 144,953.30
  4. Step 4: Simplify right side
    144,953.30x = 31,517,188,771.34
  5. Step 5: Solve for x
    x = 31,517,188,771.34/144,953.30
  6. Step 6: Final answer
    x = 217,429.95

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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.