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Finding the Fourth Proportional to 99,814.74, 137,744.37 and 55,102.74

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Solution

The fourth proportional to 99,814.74, 137,744.37 and 55,102.74 is: 76,041.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,814.74 : 137,744.37 = 55,102.74 : x
  2. Step 2: Convert to fraction form
    99,814.74/137,744.37 = 55,102.74/x
  3. Step 3: Cross multiply
    99,814.74x = 137,744.37 × 55,102.74
  4. Step 4: Simplify right side
    99,814.74x = 7,590,092,206.57
  5. Step 5: Solve for x
    x = 7,590,092,206.57/99,814.74
  6. Step 6: Final answer
    x = 76,041.80

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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.