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Finding the Fourth Proportional to 144,201.19, 216,326.70 and 64,267.56

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Solution

The fourth proportional to 144,201.19, 216,326.70 and 64,267.56 is: 96,412.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,201.19 : 216,326.70 = 64,267.56 : x
  2. Step 2: Convert to fraction form
    144,201.19/216,326.70 = 64,267.56/x
  3. Step 3: Cross multiply
    144,201.19x = 216,326.70 × 64,267.56
  4. Step 4: Simplify right side
    144,201.19x = 13,902,787,768.88
  5. Step 5: Solve for x
    x = 13,902,787,768.88/144,201.19
  6. Step 6: Final answer
    x = 96,412.43

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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.