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Finding the Fourth Proportional to 114,113.94, 157,424.18 and 73,840.70

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Solution

The fourth proportional to 114,113.94, 157,424.18 and 73,840.70 is: 101,865.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,113.94 : 157,424.18 = 73,840.70 : x
  2. Step 2: Convert to fraction form
    114,113.94/157,424.18 = 73,840.70/x
  3. Step 3: Cross multiply
    114,113.94x = 157,424.18 × 73,840.70
  4. Step 4: Simplify right side
    114,113.94x = 11,624,311,672.48
  5. Step 5: Solve for x
    x = 11,624,311,672.48/114,113.94
  6. Step 6: Final answer
    x = 101,865.83

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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.