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Finding the Fourth Proportional to 99,430.38, 137,213.94 and 54,718.38

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Solution

The fourth proportional to 99,430.38, 137,213.94 and 54,718.38 is: 75,511.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,430.38 : 137,213.94 = 54,718.38 : x
  2. Step 2: Convert to fraction form
    99,430.38/137,213.94 = 54,718.38/x
  3. Step 3: Cross multiply
    99,430.38x = 137,213.94 × 54,718.38
  4. Step 4: Simplify right side
    99,430.38x = 7,508,124,510.22
  5. Step 5: Solve for x
    x = 7,508,124,510.22/99,430.38
  6. Step 6: Final answer
    x = 75,511.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.