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Finding the Fourth Proportional to 164,023.40, 245,963.10 and 75,247.40

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Solution

The fourth proportional to 164,023.40, 245,963.10 and 75,247.40 is: 112,838.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,023.40 : 245,963.10 = 75,247.40 : x
  2. Step 2: Convert to fraction form
    164,023.40/245,963.10 = 75,247.40/x
  3. Step 3: Cross multiply
    164,023.40x = 245,963.10 × 75,247.40
  4. Step 4: Simplify right side
    164,023.40x = 18,508,083,770.94
  5. Step 5: Solve for x
    x = 18,508,083,770.94/164,023.40
  6. Step 6: Final answer
    x = 112,838.07

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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.