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Finding the Fourth Proportional to 144,908.70, 217,363.05 and 102,918.30

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Solution

The fourth proportional to 144,908.70, 217,363.05 and 102,918.30 is: 154,377.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,908.70 : 217,363.05 = 102,918.30 : x
  2. Step 2: Convert to fraction form
    144,908.70/217,363.05 = 102,918.30/x
  3. Step 3: Cross multiply
    144,908.70x = 217,363.05 × 102,918.30
  4. Step 4: Simplify right side
    144,908.70x = 22,370,635,588.82
  5. Step 5: Solve for x
    x = 22,370,635,588.82/144,908.70
  6. Step 6: Final answer
    x = 154,377.45

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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.