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Finding the Fourth Proportional to 243,409.80, 365,114.70 and 138,433.80

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Solution

The fourth proportional to 243,409.80, 365,114.70 and 138,433.80 is: 207,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,409.80 : 365,114.70 = 138,433.80 : x
  2. Step 2: Convert to fraction form
    243,409.80/365,114.70 = 138,433.80/x
  3. Step 3: Cross multiply
    243,409.80x = 365,114.70 × 138,433.80
  4. Step 4: Simplify right side
    243,409.80x = 50,544,215,356.86
  5. Step 5: Solve for x
    x = 50,544,215,356.86/243,409.80
  6. Step 6: Final answer
    x = 207,650.70

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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.