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Finding the Fourth Proportional to 254,816.67, 382,397.17 and 97,041.03

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Solution

The fourth proportional to 254,816.67, 382,397.17 and 97,041.03 is: 145,627.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,816.67 : 382,397.17 = 97,041.03 : x
  2. Step 2: Convert to fraction form
    254,816.67/382,397.17 = 97,041.03/x
  3. Step 3: Cross multiply
    254,816.67x = 382,397.17 × 97,041.03
  4. Step 4: Simplify right side
    254,816.67x = 37,108,215,245.89
  5. Step 5: Solve for x
    x = 37,108,215,245.89/254,816.67
  6. Step 6: Final answer
    x = 145,627.11

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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.