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Finding the Fourth Proportional to 209,201.98, 288,702.02 and 113,708.92

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Solution

The fourth proportional to 209,201.98, 288,702.02 and 113,708.92 is: 156,920.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,201.98 : 288,702.02 = 113,708.92 : x
  2. Step 2: Convert to fraction form
    209,201.98/288,702.02 = 113,708.92/x
  3. Step 3: Cross multiply
    209,201.98x = 288,702.02 × 113,708.92
  4. Step 4: Simplify right side
    209,201.98x = 32,827,994,896.02
  5. Step 5: Solve for x
    x = 32,827,994,896.02/209,201.98
  6. Step 6: Final answer
    x = 156,920.10

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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.