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Finding the Fourth Proportional to 114,108.74, 157,417 and 73,835.49

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Solution

The fourth proportional to 114,108.74, 157,417 and 73,835.49 is: 101,858.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,108.74 : 157,417 = 73,835.49 : x
  2. Step 2: Convert to fraction form
    114,108.74/157,417 = 73,835.49/x
  3. Step 3: Cross multiply
    114,108.74x = 157,417 × 73,835.49
  4. Step 4: Simplify right side
    114,108.74x = 11,622,961,329.33
  5. Step 5: Solve for x
    x = 11,622,961,329.33/114,108.74
  6. Step 6: Final answer
    x = 101,858.64

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.