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Finding the Fourth Proportional to 202,350.61, 303,712.22 and 102,580.62

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Solution

The fourth proportional to 202,350.61, 303,712.22 and 102,580.62 is: 153,965.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,350.61 : 303,712.22 = 102,580.62 : x
  2. Step 2: Convert to fraction form
    202,350.61/303,712.22 = 102,580.62/x
  3. Step 3: Cross multiply
    202,350.61x = 303,712.22 × 102,580.62
  4. Step 4: Simplify right side
    202,350.61x = 31,154,987,829.18
  5. Step 5: Solve for x
    x = 31,154,987,829.18/202,350.61
  6. Step 6: Final answer
    x = 153,965.38

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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.