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Finding the Fourth Proportional to 254,587, 381,880.50 and 88,375

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Solution

The fourth proportional to 254,587, 381,880.50 and 88,375 is: 132,562.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,587 : 381,880.50 = 88,375 : x
  2. Step 2: Convert to fraction form
    254,587/381,880.50 = 88,375/x
  3. Step 3: Cross multiply
    254,587x = 381,880.50 × 88,375
  4. Step 4: Simplify right side
    254,587x = 33,748,689,187.50
  5. Step 5: Solve for x
    x = 33,748,689,187.50/254,587
  6. Step 6: Final answer
    x = 132,562.50

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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.