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Finding the Fourth Proportional to 102,733.99, 154,113.28 and 43,561.97

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Solution

The fourth proportional to 102,733.99, 154,113.28 and 43,561.97 is: 65,348.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,733.99 : 154,113.28 = 43,561.97 : x
  2. Step 2: Convert to fraction form
    102,733.99/154,113.28 = 43,561.97/x
  3. Step 3: Cross multiply
    102,733.99x = 154,113.28 × 43,561.97
  4. Step 4: Simplify right side
    102,733.99x = 6,713,478,023.45
  5. Step 5: Solve for x
    x = 6,713,478,023.45/102,733.99
  6. Step 6: Final answer
    x = 65,348.17

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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.