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Finding the Fourth Proportional to 209,252.40, 288,830.84 and 137,687.60

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Solution

The fourth proportional to 209,252.40, 288,830.84 and 137,687.60 is: 190,050.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,252.40 : 288,830.84 = 137,687.60 : x
  2. Step 2: Convert to fraction form
    209,252.40/288,830.84 = 137,687.60/x
  3. Step 3: Cross multiply
    209,252.40x = 288,830.84 × 137,687.60
  4. Step 4: Simplify right side
    209,252.40x = 39,768,425,165.58
  5. Step 5: Solve for x
    x = 39,768,425,165.58/209,252.40
  6. Step 6: Final answer
    x = 190,050.03

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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.