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Finding the Fourth Proportional to 137,771.52, 190,124.60 and 77,342.28

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Solution

The fourth proportional to 137,771.52, 190,124.60 and 77,342.28 is: 106,732.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,771.52 : 190,124.60 = 77,342.28 : x
  2. Step 2: Convert to fraction form
    137,771.52/190,124.60 = 77,342.28/x
  3. Step 3: Cross multiply
    137,771.52x = 190,124.60 × 77,342.28
  4. Step 4: Simplify right side
    137,771.52x = 14,704,669,661.38
  5. Step 5: Solve for x
    x = 14,704,669,661.38/137,771.52
  6. Step 6: Final answer
    x = 106,732.29

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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.