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Finding the Fourth Proportional to 114,100.53, 157,406.34 and 73,827.42

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Solution

The fourth proportional to 114,100.53, 157,406.34 and 73,827.42 is: 101,847.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,100.53 : 157,406.34 = 73,827.42 : x
  2. Step 2: Convert to fraction form
    114,100.53/157,406.34 = 73,827.42/x
  3. Step 3: Cross multiply
    114,100.53x = 157,406.34 × 73,827.42
  4. Step 4: Simplify right side
    114,100.53x = 11,620,903,973.84
  5. Step 5: Solve for x
    x = 11,620,903,973.84/114,100.53
  6. Step 6: Final answer
    x = 101,847.94

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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.