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Finding the Fourth Proportional to 270,588.81, 405,763.23 and 144,205.50

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Solution

The fourth proportional to 270,588.81, 405,763.23 and 144,205.50 is: 216,244.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,588.81 : 405,763.23 = 144,205.50 : x
  2. Step 2: Convert to fraction form
    270,588.81/405,763.23 = 144,205.50/x
  3. Step 3: Cross multiply
    270,588.81x = 405,763.23 × 144,205.50
  4. Step 4: Simplify right side
    270,588.81x = 58,513,289,463.77
  5. Step 5: Solve for x
    x = 58,513,289,463.77/270,588.81
  6. Step 6: Final answer
    x = 216,244.31

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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.