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Finding the Fourth Proportional to 96,540, 144,651.84 and 92,849.50

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Solution

The fourth proportional to 96,540, 144,651.84 and 92,849.50 is: 139,122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,540 : 144,651.84 = 92,849.50 : x
  2. Step 2: Convert to fraction form
    96,540/144,651.84 = 92,849.50/x
  3. Step 3: Cross multiply
    96,540x = 144,651.84 × 92,849.50
  4. Step 4: Simplify right side
    96,540x = 13,430,851,018.08
  5. Step 5: Solve for x
    x = 13,430,851,018.08/96,540
  6. Step 6: Final answer
    x = 139,122.14

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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.