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Finding the Fourth Proportional to 209,607.76, 288,766.92 and 145,835.92

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Solution

The fourth proportional to 209,607.76, 288,766.92 and 145,835.92 is: 200,911.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,607.76 : 288,766.92 = 145,835.92 : x
  2. Step 2: Convert to fraction form
    209,607.76/288,766.92 = 145,835.92/x
  3. Step 3: Cross multiply
    209,607.76x = 288,766.92 × 145,835.92
  4. Step 4: Simplify right side
    209,607.76x = 42,112,589,443.77
  5. Step 5: Solve for x
    x = 42,112,589,443.77/209,607.76
  6. Step 6: Final answer
    x = 200,911.40

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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.