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Finding the Fourth Proportional to 310,108, 465,166.32 and 88,492

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Solution

The fourth proportional to 310,108, 465,166.32 and 88,492 is: 132,739.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,108 : 465,166.32 = 88,492 : x
  2. Step 2: Convert to fraction form
    310,108/465,166.32 = 88,492/x
  3. Step 3: Cross multiply
    310,108x = 465,166.32 × 88,492
  4. Step 4: Simplify right side
    310,108x = 41,163,497,989.44
  5. Step 5: Solve for x
    x = 41,163,497,989.44/310,108
  6. Step 6: Final answer
    x = 132,739.23

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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.