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Finding the Fourth Proportional to 254,333, 381,567.54 and 88,121

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Solution

The fourth proportional to 254,333, 381,567.54 and 88,121 is: 132,205.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,333 : 381,567.54 = 88,121 : x
  2. Step 2: Convert to fraction form
    254,333/381,567.54 = 88,121/x
  3. Step 3: Cross multiply
    254,333x = 381,567.54 × 88,121
  4. Step 4: Simplify right side
    254,333x = 33,624,113,192.34
  5. Step 5: Solve for x
    x = 33,624,113,192.34/254,333
  6. Step 6: Final answer
    x = 132,205.07

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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.