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Finding the Fourth Proportional to 209,577.66, 289,217.21 and 114,085.07

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Solution

The fourth proportional to 209,577.66, 289,217.21 and 114,085.07 is: 157,437.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,577.66 : 289,217.21 = 114,085.07 : x
  2. Step 2: Convert to fraction form
    209,577.66/289,217.21 = 114,085.07/x
  3. Step 3: Cross multiply
    209,577.66x = 289,217.21 × 114,085.07
  4. Step 4: Simplify right side
    209,577.66x = 32,995,365,800.67
  5. Step 5: Solve for x
    x = 32,995,365,800.67/209,577.66
  6. Step 6: Final answer
    x = 157,437.42

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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.