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Finding the Fourth Proportional to 221,484.90, 305,542.89 and 144,970.32

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Solution

The fourth proportional to 221,484.90, 305,542.89 and 144,970.32 is: 199,989.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,484.90 : 305,542.89 = 144,970.32 : x
  2. Step 2: Convert to fraction form
    221,484.90/305,542.89 = 144,970.32/x
  3. Step 3: Cross multiply
    221,484.90x = 305,542.89 × 144,970.32
  4. Step 4: Simplify right side
    221,484.90x = 44,294,650,537.02
  5. Step 5: Solve for x
    x = 44,294,650,537.02/221,484.90
  6. Step 6: Final answer
    x = 199,989.48

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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.