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Finding the Fourth Proportional to 202,059.30, 302,695.29 and 122,977.38

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Solution

The fourth proportional to 202,059.30, 302,695.29 and 122,977.38 is: 184,226.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,059.30 : 302,695.29 = 122,977.38 : x
  2. Step 2: Convert to fraction form
    202,059.30/302,695.29 = 122,977.38/x
  3. Step 3: Cross multiply
    202,059.30x = 302,695.29 × 122,977.38
  4. Step 4: Simplify right side
    202,059.30x = 37,224,673,702.54
  5. Step 5: Solve for x
    x = 37,224,673,702.54/202,059.30
  6. Step 6: Final answer
    x = 184,226.48

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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.