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Finding the Fourth Proportional to 289,637.42, 433,890.53 and 137,618.15

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Solution

The fourth proportional to 289,637.42, 433,890.53 and 137,618.15 is: 206,158.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,637.42 : 433,890.53 = 137,618.15 : x
  2. Step 2: Convert to fraction form
    289,637.42/433,890.53 = 137,618.15/x
  3. Step 3: Cross multiply
    289,637.42x = 433,890.53 × 137,618.15
  4. Step 4: Simplify right side
    289,637.42x = 59,711,213,469.89
  5. Step 5: Solve for x
    x = 59,711,213,469.89/289,637.42
  6. Step 6: Final answer
    x = 206,158.49

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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.