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Finding the Fourth Proportional to 96,536.40, 144,934.20 and 61,544.40

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Solution

The fourth proportional to 96,536.40, 144,934.20 and 61,544.40 is: 92,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,536.40 : 144,934.20 = 61,544.40 : x
  2. Step 2: Convert to fraction form
    96,536.40/144,934.20 = 61,544.40/x
  3. Step 3: Cross multiply
    96,536.40x = 144,934.20 × 61,544.40
  4. Step 4: Simplify right side
    96,536.40x = 8,919,888,378.48
  5. Step 5: Solve for x
    x = 8,919,888,378.48/96,536.40
  6. Step 6: Final answer
    x = 92,399.22

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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.