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Finding the Fourth Proportional to 114,304.93, 157,706.67 and 73,954.78

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Solution

The fourth proportional to 114,304.93, 157,706.67 and 73,954.78 is: 102,035.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,304.93 : 157,706.67 = 73,954.78 : x
  2. Step 2: Convert to fraction form
    114,304.93/157,706.67 = 73,954.78/x
  3. Step 3: Cross multiply
    114,304.93x = 157,706.67 × 73,954.78
  4. Step 4: Simplify right side
    114,304.93x = 11,663,162,084.38
  5. Step 5: Solve for x
    x = 11,663,162,084.38/114,304.93
  6. Step 6: Final answer
    x = 102,035.51

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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.