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Finding the Fourth Proportional to 254,917.20, 382,364.60 and 77,420.24

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Solution

The fourth proportional to 254,917.20, 382,364.60 and 77,420.24 is: 116,126.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,917.20 : 382,364.60 = 77,420.24 : x
  2. Step 2: Convert to fraction form
    254,917.20/382,364.60 = 77,420.24/x
  3. Step 3: Cross multiply
    254,917.20x = 382,364.60 × 77,420.24
  4. Step 4: Simplify right side
    254,917.20x = 29,602,759,099.50
  5. Step 5: Solve for x
    x = 29,602,759,099.50/254,917.20
  6. Step 6: Final answer
    x = 116,126.96

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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.