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Finding the Fourth Proportional to 209,828.60, 289,563.48 and 114,335.32

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Solution

The fourth proportional to 209,828.60, 289,563.48 and 114,335.32 is: 157,782.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,828.60 : 289,563.48 = 114,335.32 : x
  2. Step 2: Convert to fraction form
    209,828.60/289,563.48 = 114,335.32/x
  3. Step 3: Cross multiply
    209,828.60x = 289,563.48 × 114,335.32
  4. Step 4: Simplify right side
    209,828.60x = 33,107,333,146.11
  5. Step 5: Solve for x
    x = 33,107,333,146.11/209,828.60
  6. Step 6: Final answer
    x = 157,782.75

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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.