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Finding the Fourth Proportional to 216,088.58, 298,217.31 and 120,596.84

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Solution

The fourth proportional to 216,088.58, 298,217.31 and 120,596.84 is: 166,432.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,088.58 : 298,217.31 = 120,596.84 : x
  2. Step 2: Convert to fraction form
    216,088.58/298,217.31 = 120,596.84/x
  3. Step 3: Cross multiply
    216,088.58x = 298,217.31 × 120,596.84
  4. Step 4: Simplify right side
    216,088.58x = 35,964,065,219.30
  5. Step 5: Solve for x
    x = 35,964,065,219.30/216,088.58
  6. Step 6: Final answer
    x = 166,432.05

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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.