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Finding the Fourth Proportional to 144,498.45, 216,749.27 and 64,540.49

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Solution

The fourth proportional to 144,498.45, 216,749.27 and 64,540.49 is: 96,811.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,498.45 : 216,749.27 = 64,540.49 : x
  2. Step 2: Convert to fraction form
    144,498.45/216,749.27 = 64,540.49/x
  3. Step 3: Cross multiply
    144,498.45x = 216,749.27 × 64,540.49
  4. Step 4: Simplify right side
    144,498.45x = 13,989,102,686.49
  5. Step 5: Solve for x
    x = 13,989,102,686.49/144,498.45
  6. Step 6: Final answer
    x = 96,811.44

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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.