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Finding the Fourth Proportional to 209,566.16, 289,201 and 114,072.56

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Solution

The fourth proportional to 209,566.16, 289,201 and 114,072.56 is: 157,419.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,566.16 : 289,201 = 114,072.56 : x
  2. Step 2: Convert to fraction form
    209,566.16/289,201 = 114,072.56/x
  3. Step 3: Cross multiply
    209,566.16x = 289,201 × 114,072.56
  4. Step 4: Simplify right side
    209,566.16x = 32,989,898,424.56
  5. Step 5: Solve for x
    x = 32,989,898,424.56/209,566.16
  6. Step 6: Final answer
    x = 157,419.97

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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.