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Finding the Fourth Proportional to 270,587.81, 405,761.74 and 144,204.50

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Solution

The fourth proportional to 270,587.81, 405,761.74 and 144,204.50 is: 216,242.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,587.81 : 405,761.74 = 144,204.50 : x
  2. Step 2: Convert to fraction form
    270,587.81/405,761.74 = 144,204.50/x
  3. Step 3: Cross multiply
    270,587.81x = 405,761.74 × 144,204.50
  4. Step 4: Simplify right side
    270,587.81x = 58,512,668,114.81
  5. Step 5: Solve for x
    x = 58,512,668,114.81/270,587.81
  6. Step 6: Final answer
    x = 216,242.81

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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.