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Finding the Fourth Proportional to 202,693.32, 304,040.70 and 119,529

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Solution

The fourth proportional to 202,693.32, 304,040.70 and 119,529 is: 179,293.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,693.32 : 304,040.70 = 119,529 : x
  2. Step 2: Convert to fraction form
    202,693.32/304,040.70 = 119,529/x
  3. Step 3: Cross multiply
    202,693.32x = 304,040.70 × 119,529
  4. Step 4: Simplify right side
    202,693.32x = 36,341,680,830.30
  5. Step 5: Solve for x
    x = 36,341,680,830.30/202,693.32
  6. Step 6: Final answer
    x = 179,293.92

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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.