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Finding the Fourth Proportional to 209,433.50, 313,931.50 and 102,669.62

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Solution

The fourth proportional to 209,433.50, 313,931.50 and 102,669.62 is: 153,897.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,433.50 : 313,931.50 = 102,669.62 : x
  2. Step 2: Convert to fraction form
    209,433.50/313,931.50 = 102,669.62/x
  3. Step 3: Cross multiply
    209,433.50x = 313,931.50 × 102,669.62
  4. Step 4: Simplify right side
    209,433.50x = 32,231,227,811.03
  5. Step 5: Solve for x
    x = 32,231,227,811.03/209,433.50
  6. Step 6: Final answer
    x = 153,897.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.