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Finding the Fourth Proportional to 178,972.80, 268,228.80 and 137,212.80

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Solution

The fourth proportional to 178,972.80, 268,228.80 and 137,212.80 is: 205,642.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,972.80 : 268,228.80 = 137,212.80 : x
  2. Step 2: Convert to fraction form
    178,972.80/268,228.80 = 137,212.80/x
  3. Step 3: Cross multiply
    178,972.80x = 268,228.80 × 137,212.80
  4. Step 4: Simplify right side
    178,972.80x = 36,804,424,688.64
  5. Step 5: Solve for x
    x = 36,804,424,688.64/178,972.80
  6. Step 6: Final answer
    x = 205,642.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.