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Finding the Fourth Proportional to 177,200.84, 265,661.74 and 88,408.68

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Solution

The fourth proportional to 177,200.84, 265,661.74 and 88,408.68 is: 132,543.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,200.84 : 265,661.74 = 88,408.68 : x
  2. Step 2: Convert to fraction form
    177,200.84/265,661.74 = 88,408.68/x
  3. Step 3: Cross multiply
    177,200.84x = 265,661.74 × 88,408.68
  4. Step 4: Simplify right side
    177,200.84x = 23,486,803,759.90
  5. Step 5: Solve for x
    x = 23,486,803,759.90/177,200.84
  6. Step 6: Final answer
    x = 132,543.41

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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.