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Finding the Fourth Proportional to 258,860.10, 388,332.24 and 76,509.42

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Solution

The fourth proportional to 258,860.10, 388,332.24 and 76,509.42 is: 114,776.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,860.10 : 388,332.24 = 76,509.42 : x
  2. Step 2: Convert to fraction form
    258,860.10/388,332.24 = 76,509.42/x
  3. Step 3: Cross multiply
    258,860.10x = 388,332.24 × 76,509.42
  4. Step 4: Simplify right side
    258,860.10x = 29,711,072,706.54
  5. Step 5: Solve for x
    x = 29,711,072,706.54/258,860.10
  6. Step 6: Final answer
    x = 114,776.56

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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.