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Finding the Fourth Proportional to 209,966.09, 289,754.90 and 114,473.48

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Solution

The fourth proportional to 209,966.09, 289,754.90 and 114,473.48 is: 157,974.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,966.09 : 289,754.90 = 114,473.48 : x
  2. Step 2: Convert to fraction form
    209,966.09/289,754.90 = 114,473.48/x
  3. Step 3: Cross multiply
    209,966.09x = 289,754.90 × 114,473.48
  4. Step 4: Simplify right side
    209,966.09x = 33,169,249,728.91
  5. Step 5: Solve for x
    x = 33,169,249,728.91/209,966.09
  6. Step 6: Final answer
    x = 157,974.32

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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.