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Finding the Fourth Proportional to 209,965.56, 289,753.38 and 134,557.80

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Solution

The fourth proportional to 209,965.56, 289,753.38 and 134,557.80 is: 185,690.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,965.56 : 289,753.38 = 134,557.80 : x
  2. Step 2: Convert to fraction form
    209,965.56/289,753.38 = 134,557.80/x
  3. Step 3: Cross multiply
    209,965.56x = 289,753.38 × 134,557.80
  4. Step 4: Simplify right side
    209,965.56x = 38,988,577,355.36
  5. Step 5: Solve for x
    x = 38,988,577,355.36/209,965.56
  6. Step 6: Final answer
    x = 185,690.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.