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Finding the Fourth Proportional to 209,792.19, 289,513.25 and 114,298.88

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Solution

The fourth proportional to 209,792.19, 289,513.25 and 114,298.88 is: 157,732.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,792.19 : 289,513.25 = 114,298.88 : x
  2. Step 2: Convert to fraction form
    209,792.19/289,513.25 = 114,298.88/x
  3. Step 3: Cross multiply
    209,792.19x = 289,513.25 × 114,298.88
  4. Step 4: Simplify right side
    209,792.19x = 33,091,038,201.10
  5. Step 5: Solve for x
    x = 33,091,038,201.10/209,792.19
  6. Step 6: Final answer
    x = 157,732.46

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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.