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Finding the Fourth Proportional to 254,751.86, 382,136.30 and 114,510.89

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Solution

The fourth proportional to 254,751.86, 382,136.30 and 114,510.89 is: 171,770.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,751.86 : 382,136.30 = 114,510.89 : x
  2. Step 2: Convert to fraction form
    254,751.86/382,136.30 = 114,510.89/x
  3. Step 3: Cross multiply
    254,751.86x = 382,136.30 × 114,510.89
  4. Step 4: Simplify right side
    254,751.86x = 43,758,767,814.31
  5. Step 5: Solve for x
    x = 43,758,767,814.31/254,751.86
  6. Step 6: Final answer
    x = 171,770.16

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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.