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Finding the Fourth Proportional to 137,035.10, 205,552.65 and 105,892.70

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Solution

The fourth proportional to 137,035.10, 205,552.65 and 105,892.70 is: 158,839.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,035.10 : 205,552.65 = 105,892.70 : x
  2. Step 2: Convert to fraction form
    137,035.10/205,552.65 = 105,892.70/x
  3. Step 3: Cross multiply
    137,035.10x = 205,552.65 × 105,892.70
  4. Step 4: Simplify right side
    137,035.10x = 21,766,525,100.66
  5. Step 5: Solve for x
    x = 21,766,525,100.66/137,035.10
  6. Step 6: Final answer
    x = 158,839.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.