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Finding the Fourth Proportional to 254,826, 382,242.24 and 88,614

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Solution

The fourth proportional to 254,826, 382,242.24 and 88,614 is: 132,922.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,826 : 382,242.24 = 88,614 : x
  2. Step 2: Convert to fraction form
    254,826/382,242.24 = 88,614/x
  3. Step 3: Cross multiply
    254,826x = 382,242.24 × 88,614
  4. Step 4: Simplify right side
    254,826x = 33,872,013,855.36
  5. Step 5: Solve for x
    x = 33,872,013,855.36/254,826
  6. Step 6: Final answer
    x = 132,922.13

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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.