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Finding the Fourth Proportional to 114,318.54, 157,725.41 and 73,968.39

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Solution

The fourth proportional to 114,318.54, 157,725.41 and 73,968.39 is: 102,054.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,318.54 : 157,725.41 = 73,968.39 : x
  2. Step 2: Convert to fraction form
    114,318.54/157,725.41 = 73,968.39/x
  3. Step 3: Cross multiply
    114,318.54x = 157,725.41 × 73,968.39
  4. Step 4: Simplify right side
    114,318.54x = 11,666,693,851.16
  5. Step 5: Solve for x
    x = 11,666,693,851.16/114,318.54
  6. Step 6: Final answer
    x = 102,054.26

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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.