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Finding the Fourth Proportional to 216,422.88, 298,661.76 and 120,928.48

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Solution

The fourth proportional to 216,422.88, 298,661.76 and 120,928.48 is: 166,880.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,422.88 : 298,661.76 = 120,928.48 : x
  2. Step 2: Convert to fraction form
    216,422.88/298,661.76 = 120,928.48/x
  3. Step 3: Cross multiply
    216,422.88x = 298,661.76 × 120,928.48
  4. Step 4: Simplify right side
    216,422.88x = 36,116,712,670.92
  5. Step 5: Solve for x
    x = 36,116,712,670.92/216,422.88
  6. Step 6: Final answer
    x = 166,880.29

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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.