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Finding the Fourth Proportional to 354,963.50, 532,523.02 and 133,347.50

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Solution

The fourth proportional to 354,963.50, 532,523.02 and 133,347.50 is: 200,050.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,963.50 : 532,523.02 = 133,347.50 : x
  2. Step 2: Convert to fraction form
    354,963.50/532,523.02 = 133,347.50/x
  3. Step 3: Cross multiply
    354,963.50x = 532,523.02 × 133,347.50
  4. Step 4: Simplify right side
    354,963.50x = 71,010,613,409.45
  5. Step 5: Solve for x
    x = 71,010,613,409.45/354,963.50
  6. Step 6: Final answer
    x = 200,050.47

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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.