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Finding the Fourth Proportional to 202,727.50, 303,796 and 97,423.45

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Solution

The fourth proportional to 202,727.50, 303,796 and 97,423.45 is: 145,993.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,727.50 : 303,796 = 97,423.45 : x
  2. Step 2: Convert to fraction form
    202,727.50/303,796 = 97,423.45/x
  3. Step 3: Cross multiply
    202,727.50x = 303,796 × 97,423.45
  4. Step 4: Simplify right side
    202,727.50x = 29,596,852,897.22
  5. Step 5: Solve for x
    x = 29,596,852,897.22/202,727.50
  6. Step 6: Final answer
    x = 145,993.28

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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.