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Finding the Fourth Proportional to 202,577.10, 303,931.26 and 97,382.40

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Solution

The fourth proportional to 202,577.10, 303,931.26 and 97,382.40 is: 146,105.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,577.10 : 303,931.26 = 97,382.40 : x
  2. Step 2: Convert to fraction form
    202,577.10/303,931.26 = 97,382.40/x
  3. Step 3: Cross multiply
    202,577.10x = 303,931.26 × 97,382.40
  4. Step 4: Simplify right side
    202,577.10x = 29,597,555,533.82
  5. Step 5: Solve for x
    x = 29,597,555,533.82/202,577.10
  6. Step 6: Final answer
    x = 146,105.14

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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.