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Finding the Fourth Proportional to 254,678.31, 382,030.20 and 96,919.02

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Solution

The fourth proportional to 254,678.31, 382,030.20 and 96,919.02 is: 145,383.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,678.31 : 382,030.20 = 96,919.02 : x
  2. Step 2: Convert to fraction form
    254,678.31/382,030.20 = 96,919.02/x
  3. Step 3: Cross multiply
    254,678.31x = 382,030.20 × 96,919.02
  4. Step 4: Simplify right side
    254,678.31x = 37,025,992,594.40
  5. Step 5: Solve for x
    x = 37,025,992,594.40/254,678.31
  6. Step 6: Final answer
    x = 145,383.38

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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.