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Finding the Fourth Proportional to 255,965.30, 353,254.44 and 141,254.72

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Solution

The fourth proportional to 255,965.30, 353,254.44 and 141,254.72 is: 194,943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,965.30 : 353,254.44 = 141,254.72 : x
  2. Step 2: Convert to fraction form
    255,965.30/353,254.44 = 141,254.72/x
  3. Step 3: Cross multiply
    255,965.30x = 353,254.44 × 141,254.72
  4. Step 4: Simplify right side
    255,965.30x = 49,898,857,010.96
  5. Step 5: Solve for x
    x = 49,898,857,010.96/255,965.30
  6. Step 6: Final answer
    x = 194,943.83

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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.