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Finding the Fourth Proportional to 196,077.90, 270,565.29 and 110,025.63

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Solution

The fourth proportional to 196,077.90, 270,565.29 and 110,025.63 is: 151,822.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,077.90 : 270,565.29 = 110,025.63 : x
  2. Step 2: Convert to fraction form
    196,077.90/270,565.29 = 110,025.63/x
  3. Step 3: Cross multiply
    196,077.90x = 270,565.29 × 110,025.63
  4. Step 4: Simplify right side
    196,077.90x = 29,769,116,488.38
  5. Step 5: Solve for x
    x = 29,769,116,488.38/196,077.90
  6. Step 6: Final answer
    x = 151,822.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.