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Finding the Fourth Proportional to 203,472.50, 280,792.05 and 114,048.50

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Solution

The fourth proportional to 203,472.50, 280,792.05 and 114,048.50 is: 157,386.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,472.50 : 280,792.05 = 114,048.50 : x
  2. Step 2: Convert to fraction form
    203,472.50/280,792.05 = 114,048.50/x
  3. Step 3: Cross multiply
    203,472.50x = 280,792.05 × 114,048.50
  4. Step 4: Simplify right side
    203,472.50x = 32,023,912,114.43
  5. Step 5: Solve for x
    x = 32,023,912,114.43/203,472.50
  6. Step 6: Final answer
    x = 157,386.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.