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Finding the Fourth Proportional to 103,677.65, 155,516.48 and 51,189.65

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Solution

The fourth proportional to 103,677.65, 155,516.48 and 51,189.65 is: 76,784.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,677.65 : 155,516.48 = 51,189.65 : x
  2. Step 2: Convert to fraction form
    103,677.65/155,516.48 = 51,189.65/x
  3. Step 3: Cross multiply
    103,677.65x = 155,516.48 × 51,189.65
  4. Step 4: Simplify right side
    103,677.65x = 7,960,834,180.43
  5. Step 5: Solve for x
    x = 7,960,834,180.43/103,677.65
  6. Step 6: Final answer
    x = 76,784.48

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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.