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Finding the Fourth Proportional to 221,860.92, 306,420.47 and 149,137.50

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Solution

The fourth proportional to 221,860.92, 306,420.47 and 149,137.50 is: 205,979.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,860.92 : 306,420.47 = 149,137.50 : x
  2. Step 2: Convert to fraction form
    221,860.92/306,420.47 = 149,137.50/x
  3. Step 3: Cross multiply
    221,860.92x = 306,420.47 × 149,137.50
  4. Step 4: Simplify right side
    221,860.92x = 45,698,783,807.28
  5. Step 5: Solve for x
    x = 45,698,783,807.28/221,860.92
  6. Step 6: Final answer
    x = 205,979.42

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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.