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Finding the Fourth Proportional to 209,702.52, 289,392.75 and 114,209.12

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Solution

The fourth proportional to 209,702.52, 289,392.75 and 114,209.12 is: 157,610.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,702.52 : 289,392.75 = 114,209.12 : x
  2. Step 2: Convert to fraction form
    209,702.52/289,392.75 = 114,209.12/x
  3. Step 3: Cross multiply
    209,702.52x = 289,392.75 × 114,209.12
  4. Step 4: Simplify right side
    209,702.52x = 33,051,292,035.36
  5. Step 5: Solve for x
    x = 33,051,292,035.36/209,702.52
  6. Step 6: Final answer
    x = 157,610.37

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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.