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Finding the Fourth Proportional to 114,125, 157,493.04 and 63,824

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Solution

The fourth proportional to 114,125, 157,493.04 and 63,824 is: 88,077.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,125 : 157,493.04 = 63,824 : x
  2. Step 2: Convert to fraction form
    114,125/157,493.04 = 63,824/x
  3. Step 3: Cross multiply
    114,125x = 157,493.04 × 63,824
  4. Step 4: Simplify right side
    114,125x = 10,051,835,784.96
  5. Step 5: Solve for x
    x = 10,051,835,784.96/114,125
  6. Step 6: Final answer
    x = 88,077.42

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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.