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Finding the Fourth Proportional to 254,911.68, 382,143.96 and 97,035.12

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Solution

The fourth proportional to 254,911.68, 382,143.96 and 97,035.12 is: 145,467.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,911.68 : 382,143.96 = 97,035.12 : x
  2. Step 2: Convert to fraction form
    254,911.68/382,143.96 = 97,035.12/x
  3. Step 3: Cross multiply
    254,911.68x = 382,143.96 × 97,035.12
  4. Step 4: Simplify right side
    254,911.68x = 37,081,385,015.88
  5. Step 5: Solve for x
    x = 37,081,385,015.88/254,911.68
  6. Step 6: Final answer
    x = 145,467.58

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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.