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Finding the Fourth Proportional to 114,114.33, 157,424.76 and 73,841.08

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Solution

The fourth proportional to 114,114.33, 157,424.76 and 73,841.08 is: 101,866.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,114.33 : 157,424.76 = 73,841.08 : x
  2. Step 2: Convert to fraction form
    114,114.33/157,424.76 = 73,841.08/x
  3. Step 3: Cross multiply
    114,114.33x = 157,424.76 × 73,841.08
  4. Step 4: Simplify right side
    114,114.33x = 11,624,414,297.14
  5. Step 5: Solve for x
    x = 11,624,414,297.14/114,114.33
  6. Step 6: Final answer
    x = 101,866.39

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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.