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Finding the Fourth Proportional to 114,490.67, 157,942.71 and 76,267.98

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Solution

The fourth proportional to 114,490.67, 157,942.71 and 76,267.98 is: 105,213.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,490.67 : 157,942.71 = 76,267.98 : x
  2. Step 2: Convert to fraction form
    114,490.67/157,942.71 = 76,267.98/x
  3. Step 3: Cross multiply
    114,490.67x = 157,942.71 × 76,267.98
  4. Step 4: Simplify right side
    114,490.67x = 12,045,971,447.43
  5. Step 5: Solve for x
    x = 12,045,971,447.43/114,490.67
  6. Step 6: Final answer
    x = 105,213.57

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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.