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Finding the Fourth Proportional to 256,302.30, 353,707.18 and 141,586.86

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Solution

The fourth proportional to 256,302.30, 353,707.18 and 141,586.86 is: 195,395.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,302.30 : 353,707.18 = 141,586.86 : x
  2. Step 2: Convert to fraction form
    256,302.30/353,707.18 = 141,586.86/x
  3. Step 3: Cross multiply
    256,302.30x = 353,707.18 × 141,586.86
  4. Step 4: Simplify right side
    256,302.30x = 50,080,288,975.65
  5. Step 5: Solve for x
    x = 50,080,288,975.65/256,302.30
  6. Step 6: Final answer
    x = 195,395.39

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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.