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Finding the Fourth Proportional to 243,683.42, 365,583.44 and 123,440.54

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Solution

The fourth proportional to 243,683.42, 365,583.44 and 123,440.54 is: 185,190.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,683.42 : 365,583.44 = 123,440.54 : x
  2. Step 2: Convert to fraction form
    243,683.42/365,583.44 = 123,440.54/x
  3. Step 3: Cross multiply
    243,683.42x = 365,583.44 × 123,440.54
  4. Step 4: Simplify right side
    243,683.42x = 45,127,815,729.34
  5. Step 5: Solve for x
    x = 45,127,815,729.34/243,683.42
  6. Step 6: Final answer
    x = 185,190.35

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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.