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Finding the Fourth Proportional to 280,400.54, 386,950.78 and 153,076.14

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Solution

The fourth proportional to 280,400.54, 386,950.78 and 153,076.14 is: 211,243.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,400.54 : 386,950.78 = 153,076.14 : x
  2. Step 2: Convert to fraction form
    280,400.54/386,950.78 = 153,076.14/x
  3. Step 3: Cross multiply
    280,400.54x = 386,950.78 × 153,076.14
  4. Step 4: Simplify right side
    280,400.54x = 59,232,930,351.22
  5. Step 5: Solve for x
    x = 59,232,930,351.22/280,400.54
  6. Step 6: Final answer
    x = 211,243.99

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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.