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Finding the Fourth Proportional to 280,137.83, 386,589.75 and 152,813.42

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Solution

The fourth proportional to 280,137.83, 386,589.75 and 152,813.42 is: 210,882.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,137.83 : 386,589.75 = 152,813.42 : x
  2. Step 2: Convert to fraction form
    280,137.83/386,589.75 = 152,813.42/x
  3. Step 3: Cross multiply
    280,137.83x = 386,589.75 × 152,813.42
  4. Step 4: Simplify right side
    280,137.83x = 59,076,099,901.50
  5. Step 5: Solve for x
    x = 59,076,099,901.50/280,137.83
  6. Step 6: Final answer
    x = 210,882.27

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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.