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Finding the Fourth Proportional to 254,024.36, 381,036.64 and 76,531.40

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Solution

The fourth proportional to 254,024.36, 381,036.64 and 76,531.40 is: 114,797.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,024.36 : 381,036.64 = 76,531.40 : x
  2. Step 2: Convert to fraction form
    254,024.36/381,036.64 = 76,531.40/x
  3. Step 3: Cross multiply
    254,024.36x = 381,036.64 × 76,531.40
  4. Step 4: Simplify right side
    254,024.36x = 29,161,267,510.50
  5. Step 5: Solve for x
    x = 29,161,267,510.50/254,024.36
  6. Step 6: Final answer
    x = 114,797.13

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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.