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Finding the Fourth Proportional to 202,475.32, 304,025.10 and 171,295.07

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Solution

The fourth proportional to 202,475.32, 304,025.10 and 171,295.07 is: 257,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,475.32 : 304,025.10 = 171,295.07 : x
  2. Step 2: Convert to fraction form
    202,475.32/304,025.10 = 171,295.07/x
  3. Step 3: Cross multiply
    202,475.32x = 304,025.10 × 171,295.07
  4. Step 4: Simplify right side
    202,475.32x = 52,078,001,546.32
  5. Step 5: Solve for x
    x = 52,078,001,546.32/202,475.32
  6. Step 6: Final answer
    x = 257,206.67

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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.