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Finding the Fourth Proportional to 202,715.82, 303,616.89 and 97,613.46

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Solution

The fourth proportional to 202,715.82, 303,616.89 and 97,613.46 is: 146,200.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,715.82 : 303,616.89 = 97,613.46 : x
  2. Step 2: Convert to fraction form
    202,715.82/303,616.89 = 97,613.46/x
  3. Step 3: Cross multiply
    202,715.82x = 303,616.89 × 97,613.46
  4. Step 4: Simplify right side
    202,715.82x = 29,637,095,147.34
  5. Step 5: Solve for x
    x = 29,637,095,147.34/202,715.82
  6. Step 6: Final answer
    x = 146,200.21

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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.