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Finding the Fourth Proportional to 137,732.88, 190,085.04 and 84,053.88

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Solution

The fourth proportional to 137,732.88, 190,085.04 and 84,053.88 is: 116,002.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,732.88 : 190,085.04 = 84,053.88 : x
  2. Step 2: Convert to fraction form
    137,732.88/190,085.04 = 84,053.88/x
  3. Step 3: Cross multiply
    137,732.88x = 190,085.04 × 84,053.88
  4. Step 4: Simplify right side
    137,732.88x = 15,977,385,141.96
  5. Step 5: Solve for x
    x = 15,977,385,141.96/137,732.88
  6. Step 6: Final answer
    x = 116,002.69

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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.