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Finding the Fourth Proportional to 216,307.44, 298,505.52 and 120,822.48

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Solution

The fourth proportional to 216,307.44, 298,505.52 and 120,822.48 is: 166,735.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,307.44 : 298,505.52 = 120,822.48 : x
  2. Step 2: Convert to fraction form
    216,307.44/298,505.52 = 120,822.48/x
  3. Step 3: Cross multiply
    216,307.44x = 298,505.52 × 120,822.48
  4. Step 4: Simplify right side
    216,307.44x = 36,066,177,220.09
  5. Step 5: Solve for x
    x = 36,066,177,220.09/216,307.44
  6. Step 6: Final answer
    x = 166,735.72

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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.