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Finding the Fourth Proportional to 137,065.94, 205,100.66 and 113,151.08

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Solution

The fourth proportional to 137,065.94, 205,100.66 and 113,151.08 is: 169,315.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,065.94 : 205,100.66 = 113,151.08 : x
  2. Step 2: Convert to fraction form
    137,065.94/205,100.66 = 113,151.08/x
  3. Step 3: Cross multiply
    137,065.94x = 205,100.66 × 113,151.08
  4. Step 4: Simplify right side
    137,065.94x = 23,207,361,187.71
  5. Step 5: Solve for x
    x = 23,207,361,187.71/137,065.94
  6. Step 6: Final answer
    x = 169,315.30

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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.