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Finding the Fourth Proportional to 202,338.30, 303,507.45 and 97,362.30

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Solution

The fourth proportional to 202,338.30, 303,507.45 and 97,362.30 is: 146,043.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,338.30 : 303,507.45 = 97,362.30 : x
  2. Step 2: Convert to fraction form
    202,338.30/303,507.45 = 97,362.30/x
  3. Step 3: Cross multiply
    202,338.30x = 303,507.45 × 97,362.30
  4. Step 4: Simplify right side
    202,338.30x = 29,550,183,399.14
  5. Step 5: Solve for x
    x = 29,550,183,399.14/202,338.30
  6. Step 6: Final answer
    x = 146,043.45

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1.5x scale

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.