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Finding the Fourth Proportional to 175,735.84, 242,518.80 and 96,247.84

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Solution

The fourth proportional to 175,735.84, 242,518.80 and 96,247.84 is: 132,823.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,735.84 : 242,518.80 = 96,247.84 : x
  2. Step 2: Convert to fraction form
    175,735.84/242,518.80 = 96,247.84/x
  3. Step 3: Cross multiply
    175,735.84x = 242,518.80 × 96,247.84
  4. Step 4: Simplify right side
    175,735.84x = 23,341,910,659.39
  5. Step 5: Solve for x
    x = 23,341,910,659.39/175,735.84
  6. Step 6: Final answer
    x = 132,823.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.