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Finding the Fourth Proportional to 254,750.86, 382,134.80 and 114,509.89

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Solution

The fourth proportional to 254,750.86, 382,134.80 and 114,509.89 is: 171,768.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,750.86 : 382,134.80 = 114,509.89 : x
  2. Step 2: Convert to fraction form
    254,750.86/382,134.80 = 114,509.89/x
  3. Step 3: Cross multiply
    254,750.86x = 382,134.80 × 114,509.89
  4. Step 4: Simplify right side
    254,750.86x = 43,758,213,913.17
  5. Step 5: Solve for x
    x = 43,758,213,913.17/254,750.86
  6. Step 6: Final answer
    x = 171,768.66

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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.