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Finding the Fourth Proportional to 209,502.99, 289,121.31 and 114,013.26

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Solution

The fourth proportional to 209,502.99, 289,121.31 and 114,013.26 is: 157,342.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,502.99 : 289,121.31 = 114,013.26 : x
  2. Step 2: Convert to fraction form
    209,502.99/289,121.31 = 114,013.26/x
  3. Step 3: Cross multiply
    209,502.99x = 289,121.31 × 114,013.26
  4. Step 4: Simplify right side
    209,502.99x = 32,963,663,088.57
  5. Step 5: Solve for x
    x = 32,963,663,088.57/209,502.99
  6. Step 6: Final answer
    x = 157,342.21

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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.