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Finding the Fourth Proportional to 254,993.36, 382,502.52 and 97,192.40

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Solution

The fourth proportional to 254,993.36, 382,502.52 and 97,192.40 is: 145,793.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,993.36 : 382,502.52 = 97,192.40 : x
  2. Step 2: Convert to fraction form
    254,993.36/382,502.52 = 97,192.40/x
  3. Step 3: Cross multiply
    254,993.36x = 382,502.52 × 97,192.40
  4. Step 4: Simplify right side
    254,993.36x = 37,176,337,924.85
  5. Step 5: Solve for x
    x = 37,176,337,924.85/254,993.36
  6. Step 6: Final answer
    x = 145,793.36

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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.