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Finding the Fourth Proportional to 202,571.40, 303,857.10 and 97,595.40

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Solution

The fourth proportional to 202,571.40, 303,857.10 and 97,595.40 is: 146,393.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,571.40 : 303,857.10 = 97,595.40 : x
  2. Step 2: Convert to fraction form
    202,571.40/303,857.10 = 97,595.40/x
  3. Step 3: Cross multiply
    202,571.40x = 303,857.10 × 97,595.40
  4. Step 4: Simplify right side
    202,571.40x = 29,655,055,217.34
  5. Step 5: Solve for x
    x = 29,655,055,217.34/202,571.40
  6. Step 6: Final answer
    x = 146,393.10

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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.