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Finding the Fourth Proportional to 268,898.94, 403,282.80 and 111,172.50

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Solution

The fourth proportional to 268,898.94, 403,282.80 and 111,172.50 is: 166,731.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,898.94 : 403,282.80 = 111,172.50 : x
  2. Step 2: Convert to fraction form
    268,898.94/403,282.80 = 111,172.50/x
  3. Step 3: Cross multiply
    268,898.94x = 403,282.80 × 111,172.50
  4. Step 4: Simplify right side
    268,898.94x = 44,833,957,083
  5. Step 5: Solve for x
    x = 44,833,957,083/268,898.94
  6. Step 6: Final answer
    x = 166,731.62

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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.