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Finding the Fourth Proportional to 137,772.09, 190,153.47 and 79,631.31

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Solution

The fourth proportional to 137,772.09, 190,153.47 and 79,631.31 is: 109,907.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,772.09 : 190,153.47 = 79,631.31 : x
  2. Step 2: Convert to fraction form
    137,772.09/190,153.47 = 79,631.31/x
  3. Step 3: Cross multiply
    137,772.09x = 190,153.47 × 79,631.31
  4. Step 4: Simplify right side
    137,772.09x = 15,142,169,917.15
  5. Step 5: Solve for x
    x = 15,142,169,917.15/137,772.09
  6. Step 6: Final answer
    x = 109,907.38

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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.