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Finding the Fourth Proportional to 216,466.58, 298,722.90 and 120,973.22

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Solution

The fourth proportional to 216,466.58, 298,722.90 and 120,973.22 is: 166,942.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,466.58 : 298,722.90 = 120,973.22 : x
  2. Step 2: Convert to fraction form
    216,466.58/298,722.90 = 120,973.22/x
  3. Step 3: Cross multiply
    216,466.58x = 298,722.90 × 120,973.22
  4. Step 4: Simplify right side
    216,466.58x = 36,137,471,100.74
  5. Step 5: Solve for x
    x = 36,137,471,100.74/216,466.58
  6. Step 6: Final answer
    x = 166,942.50

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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.