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Finding the Fourth Proportional to 221,005.60, 331,508.40 and 137,024.80

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Solution

The fourth proportional to 221,005.60, 331,508.40 and 137,024.80 is: 205,537.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,005.60 : 331,508.40 = 137,024.80 : x
  2. Step 2: Convert to fraction form
    221,005.60/331,508.40 = 137,024.80/x
  3. Step 3: Cross multiply
    221,005.60x = 331,508.40 × 137,024.80
  4. Step 4: Simplify right side
    221,005.60x = 45,424,872,208.32
  5. Step 5: Solve for x
    x = 45,424,872,208.32/221,005.60
  6. Step 6: Final answer
    x = 205,537.20

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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.