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Finding the Fourth Proportional to 209,702.72, 289,393.04 and 114,209.34

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Solution

The fourth proportional to 209,702.72, 289,393.04 and 114,209.34 is: 157,610.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,702.72 : 289,393.04 = 114,209.34 : x
  2. Step 2: Convert to fraction form
    209,702.72/289,393.04 = 114,209.34/x
  3. Step 3: Cross multiply
    209,702.72x = 289,393.04 × 114,209.34
  4. Step 4: Simplify right side
    209,702.72x = 33,051,388,284.70
  5. Step 5: Solve for x
    x = 33,051,388,284.70/209,702.72
  6. Step 6: Final answer
    x = 157,610.68

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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.