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Finding the Fourth Proportional to 202,301.52, 303,638.70 and 102,532.50

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Solution

The fourth proportional to 202,301.52, 303,638.70 and 102,532.50 is: 153,893.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,301.52 : 303,638.70 = 102,532.50 : x
  2. Step 2: Convert to fraction form
    202,301.52/303,638.70 = 102,532.50/x
  3. Step 3: Cross multiply
    202,301.52x = 303,638.70 × 102,532.50
  4. Step 4: Simplify right side
    202,301.52x = 31,132,835,007.75
  5. Step 5: Solve for x
    x = 31,132,835,007.75/202,301.52
  6. Step 6: Final answer
    x = 153,893.23

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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.